Finding the Third Proportional to 3,702.38 and 7,875.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,702.38 : 7,875.56 = 7,875.56 : x
2. Step 2: Convert to fraction form
   3,702.38/7,875.56 = 7,875.56/x
3. Step 3: Cross multiply
   3,702.38x = 7,875.56 × 7,875.56
4. Step 4: Simplify right side
   3,702.38x = 62,024,484.69
5. Step 5: Solve for x
   x = 62,024,484.69/3,702.38
6. Step 6: Final answer
   x = 16,752.62