Finding the Third Proportional to 11,686.50 and 25,012.31

Step by Step Solution

1. Step 1: Write the proportion equation
   11,686.50 : 25,012.31 = 25,012.31 : x
2. Step 2: Convert to fraction form
   11,686.50/25,012.31 = 25,012.31/x
3. Step 3: Cross multiply
   11,686.50x = 25,012.31 × 25,012.31
4. Step 4: Simplify right side
   11,686.50x = 625,615,776.60
5. Step 5: Solve for x
   x = 625,615,776.60/11,686.50
6. Step 6: Final answer
   x = 53,533.20