Finding the Third Proportional to 6,870 and 14,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,870 : 14,713.50 = 14,713.50 : x
2. Step 2: Convert to fraction form
   6,870/14,713.50 = 14,713.50/x
3. Step 3: Cross multiply
   6,870x = 14,713.50 × 14,713.50
4. Step 4: Simplify right side
   6,870x = 216,487,082.25
5. Step 5: Solve for x
   x = 216,487,082.25/6,870
6. Step 6: Final answer
   x = 31,511.95