Finding the Third Proportional to 5,234.63 and 9,100.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,234.63 : 9,100.69 = 9,100.69 : x
2. Step 2: Convert to fraction form
   5,234.63/9,100.69 = 9,100.69/x
3. Step 3: Cross multiply
   5,234.63x = 9,100.69 × 9,100.69
4. Step 4: Simplify right side
   5,234.63x = 82,822,512.97
5. Step 5: Solve for x
   x = 82,822,512.97/5,234.63
6. Step 6: Final answer
   x = 15,822.05