Finding the Third Proportional to 1,157.20 and 1,705.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.20 : 1,705.43 = 1,705.43 : x
2. Step 2: Convert to fraction form
   1,157.20/1,705.43 = 1,705.43/x
3. Step 3: Cross multiply
   1,157.20x = 1,705.43 × 1,705.43
4. Step 4: Simplify right side
   1,157.20x = 2,908,490.42
5. Step 5: Solve for x
   x = 2,908,490.42/1,157.20
6. Step 6: Final answer
   x = 2,513.38