Finding the Third Proportional to 10,459.50 and 25,296

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.50 : 25,296 = 25,296 : x
2. Step 2: Convert to fraction form
   10,459.50/25,296 = 25,296/x
3. Step 3: Cross multiply
   10,459.50x = 25,296 × 25,296
4. Step 4: Simplify right side
   10,459.50x = 639,887,616
5. Step 5: Solve for x
   x = 639,887,616/10,459.50
6. Step 6: Final answer
   x = 61,177.65