Finding the Third Proportional to 1,153.50 and 1,791

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.50 : 1,791 = 1,791 : x
2. Step 2: Convert to fraction form
   1,153.50/1,791 = 1,791/x
3. Step 3: Cross multiply
   1,153.50x = 1,791 × 1,791
4. Step 4: Simplify right side
   1,153.50x = 3,207,681
5. Step 5: Solve for x
   x = 3,207,681/1,153.50
6. Step 6: Final answer
   x = 2,780.82