Finding the Third Proportional to 1,187.58 and 1,737.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,187.58 : 1,737.70 = 1,737.70 : x
2. Step 2: Convert to fraction form
   1,187.58/1,737.70 = 1,737.70/x
3. Step 3: Cross multiply
   1,187.58x = 1,737.70 × 1,737.70
4. Step 4: Simplify right side
   1,187.58x = 3,019,612.15
5. Step 5: Solve for x
   x = 3,019,612.15/1,187.58
6. Step 6: Final answer
   x = 2,542.66