Finding the Third Proportional to 17,730.56 and 23,658.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,730.56 : 23,658.75 = 23,658.75 : x
2. Step 2: Convert to fraction form
   17,730.56/23,658.75 = 23,658.75/x
3. Step 3: Cross multiply
   17,730.56x = 23,658.75 × 23,658.75
4. Step 4: Simplify right side
   17,730.56x = 559,736,451.56
5. Step 5: Solve for x
   x = 559,736,451.56/17,730.56
6. Step 6: Final answer
   x = 31,569.02