Finding the Third Proportional to 23,088.80 and 31,198.92

Step by Step Solution

1. Step 1: Write the proportion equation
   23,088.80 : 31,198.92 = 31,198.92 : x
2. Step 2: Convert to fraction form
   23,088.80/31,198.92 = 31,198.92/x
3. Step 3: Cross multiply
   23,088.80x = 31,198.92 × 31,198.92
4. Step 4: Simplify right side
   23,088.80x = 973,372,726.16
5. Step 5: Solve for x
   x = 973,372,726.16/23,088.80
6. Step 6: Final answer
   x = 42,157.79