Finding the Third Proportional to 6,866 and 10,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,866 : 10,073.50 = 10,073.50 : x
2. Step 2: Convert to fraction form
   6,866/10,073.50 = 10,073.50/x
3. Step 3: Cross multiply
   6,866x = 10,073.50 × 10,073.50
4. Step 4: Simplify right side
   6,866x = 101,475,402.25
5. Step 5: Solve for x
   x = 101,475,402.25/6,866
6. Step 6: Final answer
   x = 14,779.41