Finding the Third Proportional to 5,137.17 and 8,194.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,137.17 : 8,194.61 = 8,194.61 : x
2. Step 2: Convert to fraction form
   5,137.17/8,194.61 = 8,194.61/x
3. Step 3: Cross multiply
   5,137.17x = 8,194.61 × 8,194.61
4. Step 4: Simplify right side
   5,137.17x = 67,151,558.79
5. Step 5: Solve for x
   x = 67,151,558.79/5,137.17
6. Step 6: Final answer
   x = 13,071.70