Finding the Third Proportional to 5,685,944 and 13,422,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,685,944 : 13,422,585.50 = 13,422,585.50 : x
2. Step 2: Convert to fraction form
   5,685,944/13,422,585.50 = 13,422,585.50/x
3. Step 3: Cross multiply
   5,685,944x = 13,422,585.50 × 13,422,585.50
4. Step 4: Simplify right side
   5,685,944x = 180,165,801,504,810.25
5. Step 5: Solve for x
   x = 180,165,801,504,810.25/5,685,944
6. Step 6: Final answer
   x = 31,686,172.34