Finding the Third Proportional to 5,170.50 and 7,385.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,170.50 : 7,385.63 = 7,385.63 : x
2. Step 2: Convert to fraction form
   5,170.50/7,385.63 = 7,385.63/x
3. Step 3: Cross multiply
   5,170.50x = 7,385.63 × 7,385.63
4. Step 4: Simplify right side
   5,170.50x = 54,547,456.64
5. Step 5: Solve for x
   x = 54,547,456.64/5,170.50
6. Step 6: Final answer
   x = 10,549.75