Finding the Third Proportional to 1,162.69 and 1,737.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.69 : 1,737.84 = 1,737.84 : x
2. Step 2: Convert to fraction form
   1,162.69/1,737.84 = 1,737.84/x
3. Step 3: Cross multiply
   1,162.69x = 1,737.84 × 1,737.84
4. Step 4: Simplify right side
   1,162.69x = 3,020,100.90
5. Step 5: Solve for x
   x = 3,020,100.90/1,162.69
6. Step 6: Final answer
   x = 2,597.52