Finding the Third Proportional to 1,657.38 and 3,610.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,657.38 : 3,610.63 = 3,610.63 : x
2. Step 2: Convert to fraction form
   1,657.38/3,610.63 = 3,610.63/x
3. Step 3: Cross multiply
   1,657.38x = 3,610.63 × 3,610.63
4. Step 4: Simplify right side
   1,657.38x = 13,036,612.89
5. Step 5: Solve for x
   x = 13,036,612.89/1,657.38
6. Step 6: Final answer
   x = 7,865.82