Finding the Third Proportional to 10,534.50 and 24,326.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,534.50 : 24,326.25 = 24,326.25 : x
2. Step 2: Convert to fraction form
   10,534.50/24,326.25 = 24,326.25/x
3. Step 3: Cross multiply
   10,534.50x = 24,326.25 × 24,326.25
4. Step 4: Simplify right side
   10,534.50x = 591,766,439.06
5. Step 5: Solve for x
   x = 591,766,439.06/10,534.50
6. Step 6: Final answer
   x = 56,174.14