Finding the Third Proportional to 1,657.34 and 3,606.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,657.34 : 3,606.40 = 3,606.40 : x
2. Step 2: Convert to fraction form
   1,657.34/3,606.40 = 3,606.40/x
3. Step 3: Cross multiply
   1,657.34x = 3,606.40 × 3,606.40
4. Step 4: Simplify right side
   1,657.34x = 13,006,109.69
5. Step 5: Solve for x
   x = 13,006,109.69/1,657.34
6. Step 6: Final answer
   x = 7,847.60