Finding the Third Proportional to 1,092.08 and 1,657.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.08 : 1,657.34 = 1,657.34 : x
2. Step 2: Convert to fraction form
   1,092.08/1,657.34 = 1,657.34/x
3. Step 3: Cross multiply
   1,092.08x = 1,657.34 × 1,657.34
4. Step 4: Simplify right side
   1,092.08x = 2,746,762.41
5. Step 5: Solve for x
   x = 2,746,762.41/1,092.08
6. Step 6: Final answer
   x = 2,515.17