Finding the Third Proportional to 6,522 and 12,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,522 : 12,715.50 = 12,715.50 : x
2. Step 2: Convert to fraction form
   6,522/12,715.50 = 12,715.50/x
3. Step 3: Cross multiply
   6,522x = 12,715.50 × 12,715.50
4. Step 4: Simplify right side
   6,522x = 161,683,940.25
5. Step 5: Solve for x
   x = 161,683,940.25/6,522
6. Step 6: Final answer
   x = 24,790.55