Finding the Third Proportional to 11,566.13 and 25,405.31

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566.13 : 25,405.31 = 25,405.31 : x
2. Step 2: Convert to fraction form
   11,566.13/25,405.31 = 25,405.31/x
3. Step 3: Cross multiply
   11,566.13x = 25,405.31 × 25,405.31
4. Step 4: Simplify right side
   11,566.13x = 645,429,903.22
5. Step 5: Solve for x
   x = 645,429,903.22/11,566.13
6. Step 6: Final answer
   x = 55,803.47