Finding the Third Proportional to 7,083,213,078 and 10,585,780,209

Step by Step Solution

1. Step 1: Write the proportion equation
   7,083,213,078 : 10,585,780,209 = 10,585,780,209 : x
2. Step 2: Convert to fraction form
   7,083,213,078/10,585,780,209 = 10,585,780,209/x
3. Step 3: Cross multiply
   7,083,213,078x = 10,585,780,209 × 10,585,780,209
4. Step 4: Simplify right side
   7,083,213,078x = 112,058,742,633,256,091,648
5. Step 5: Solve for x
   x = 112,058,742,633,256,091,648/7,083,213,078
6. Step 6: Final answer
   x = 15,820,326,368.74