Finding the Third Proportional to 1,077.50 and 1,638.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.50 : 1,638.13 = 1,638.13 : x
2. Step 2: Convert to fraction form
   1,077.50/1,638.13 = 1,638.13/x
3. Step 3: Cross multiply
   1,077.50x = 1,638.13 × 1,638.13
4. Step 4: Simplify right side
   1,077.50x = 2,683,453.52
5. Step 5: Solve for x
   x = 2,683,453.52/1,077.50
6. Step 6: Final answer
   x = 2,490.44