Finding the Third Proportional to 17,770.50 and 24,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,770.50 : 24,061.50 = 24,061.50 : x
2. Step 2: Convert to fraction form
   17,770.50/24,061.50 = 24,061.50/x
3. Step 3: Cross multiply
   17,770.50x = 24,061.50 × 24,061.50
4. Step 4: Simplify right side
   17,770.50x = 578,955,782.25
5. Step 5: Solve for x
   x = 578,955,782.25/17,770.50
6. Step 6: Final answer
   x = 32,579.60