Finding the Third Proportional to 10,534 and 24,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,534 : 24,386.50 = 24,386.50 : x
2. Step 2: Convert to fraction form
   10,534/24,386.50 = 24,386.50/x
3. Step 3: Cross multiply
   10,534x = 24,386.50 × 24,386.50
4. Step 4: Simplify right side
   10,534x = 594,701,382.25
5. Step 5: Solve for x
   x = 594,701,382.25/10,534
6. Step 6: Final answer
   x = 56,455.42