Finding the Third Proportional to 2,502.14 and 3,500.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,502.14 : 3,500.72 = 3,500.72 : x
2. Step 2: Convert to fraction form
   2,502.14/3,500.72 = 3,500.72/x
3. Step 3: Cross multiply
   2,502.14x = 3,500.72 × 3,500.72
4. Step 4: Simplify right side
   2,502.14x = 12,255,031.77
5. Step 5: Solve for x
   x = 12,255,031.77/2,502.14
6. Step 6: Final answer
   x = 4,897.82