Finding the Third Proportional to 6,117 and 14,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,117 : 14,086.50 = 14,086.50 : x
2. Step 2: Convert to fraction form
   6,117/14,086.50 = 14,086.50/x
3. Step 3: Cross multiply
   6,117x = 14,086.50 × 14,086.50
4. Step 4: Simplify right side
   6,117x = 198,429,482.25
5. Step 5: Solve for x
   x = 198,429,482.25/6,117
6. Step 6: Final answer
   x = 32,439.02