Finding the Third Proportional to 5,113 and 8,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,113 : 8,081.50 = 8,081.50 : x
2. Step 2: Convert to fraction form
   5,113/8,081.50 = 8,081.50/x
3. Step 3: Cross multiply
   5,113x = 8,081.50 × 8,081.50
4. Step 4: Simplify right side
   5,113x = 65,310,642.25
5. Step 5: Solve for x
   x = 65,310,642.25/5,113
6. Step 6: Final answer
   x = 12,773.45