Finding the Third Proportional to 13,125.38 and 20,174.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,125.38 : 20,174.06 = 20,174.06 : x
2. Step 2: Convert to fraction form
   13,125.38/20,174.06 = 20,174.06/x
3. Step 3: Cross multiply
   13,125.38x = 20,174.06 × 20,174.06
4. Step 4: Simplify right side
   13,125.38x = 406,992,797.75
5. Step 5: Solve for x
   x = 406,992,797.75/13,125.38
6. Step 6: Final answer
   x = 31,008.09