Finding the Third Proportional to 2,530.50 and 3,727.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.50 : 3,727.13 = 3,727.13 : x
2. Step 2: Convert to fraction form
   2,530.50/3,727.13 = 3,727.13/x
3. Step 3: Cross multiply
   2,530.50x = 3,727.13 × 3,727.13
4. Step 4: Simplify right side
   2,530.50x = 13,891,460.77
5. Step 5: Solve for x
   x = 13,891,460.77/2,530.50
6. Step 6: Final answer
   x = 5,489.61