Finding the Third Proportional to 6,468 and 13,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,468 : 13,711.50 = 13,711.50 : x
2. Step 2: Convert to fraction form
   6,468/13,711.50 = 13,711.50/x
3. Step 3: Cross multiply
   6,468x = 13,711.50 × 13,711.50
4. Step 4: Simplify right side
   6,468x = 188,005,232.25
5. Step 5: Solve for x
   x = 188,005,232.25/6,468
6. Step 6: Final answer
   x = 29,066.98