Finding the Third Proportional to 11,737.13 and 25,698.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,737.13 : 25,698.38 = 25,698.38 : x
2. Step 2: Convert to fraction form
   11,737.13/25,698.38 = 25,698.38/x
3. Step 3: Cross multiply
   11,737.13x = 25,698.38 × 25,698.38
4. Step 4: Simplify right side
   11,737.13x = 660,406,477.64
5. Step 5: Solve for x
   x = 660,406,477.64/11,737.13
6. Step 6: Final answer
   x = 56,266.46