Finding the Third Proportional to 10,296 and 12,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 12,532.50 = 12,532.50 : x
2. Step 2: Convert to fraction form
   10,296/12,532.50 = 12,532.50/x
3. Step 3: Cross multiply
   10,296x = 12,532.50 × 12,532.50
4. Step 4: Simplify right side
   10,296x = 157,063,556.25
5. Step 5: Solve for x
   x = 157,063,556.25/10,296
6. Step 6: Final answer
   x = 15,254.81