Finding the Third Proportional to 6,534 and 14,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,534 : 14,782.50 = 14,782.50 : x
2. Step 2: Convert to fraction form
   6,534/14,782.50 = 14,782.50/x
3. Step 3: Cross multiply
   6,534x = 14,782.50 × 14,782.50
4. Step 4: Simplify right side
   6,534x = 218,522,306.25
5. Step 5: Solve for x
   x = 218,522,306.25/6,534
6. Step 6: Final answer
   x = 33,443.88