Finding the Third Proportional to 17,564 and 31,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,564 : 31,229.50 = 31,229.50 : x
2. Step 2: Convert to fraction form
   17,564/31,229.50 = 31,229.50/x
3. Step 3: Cross multiply
   17,564x = 31,229.50 × 31,229.50
4. Step 4: Simplify right side
   17,564x = 975,281,670.25
5. Step 5: Solve for x
   x = 975,281,670.25/17,564
6. Step 6: Final answer
   x = 55,527.31