Finding the Third Proportional to 7,165,400,784 and 10,685,963,642.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,165,400,784 : 10,685,963,642.25 = 10,685,963,642.25 : x
2. Step 2: Convert to fraction form
   7,165,400,784/10,685,963,642.25 = 10,685,963,642.25/x
3. Step 3: Cross multiply
   7,165,400,784x = 10,685,963,642.25 × 10,685,963,642.25
4. Step 4: Simplify right side
   7,165,400,784x = 114,189,818,963,488,882,688
5. Step 5: Solve for x
   x = 114,189,818,963,488,882,688/7,165,400,784
6. Step 6: Final answer
   x = 15,936,278,012.32