Finding the Third Proportional to 3,902.88 and 8,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,902.88 : 8,498.50 = 8,498.50 : x
2. Step 2: Convert to fraction form
   3,902.88/8,498.50 = 8,498.50/x
3. Step 3: Cross multiply
   3,902.88x = 8,498.50 × 8,498.50
4. Step 4: Simplify right side
   3,902.88x = 72,224,502.25
5. Step 5: Solve for x
   x = 72,224,502.25/3,902.88
6. Step 6: Final answer
   x = 18,505.46