Finding the Third Proportional to 2,089.13 and 3,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.13 : 3,127.50 = 3,127.50 : x
2. Step 2: Convert to fraction form
   2,089.13/3,127.50 = 3,127.50/x
3. Step 3: Cross multiply
   2,089.13x = 3,127.50 × 3,127.50
4. Step 4: Simplify right side
   2,089.13x = 9,781,256.25
5. Step 5: Solve for x
   x = 9,781,256.25/2,089.13
6. Step 6: Final answer
   x = 4,681.99