Finding the Third Proportional to 41,571 and 64,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,571 : 64,498.50 = 64,498.50 : x
2. Step 2: Convert to fraction form
   41,571/64,498.50 = 64,498.50/x
3. Step 3: Cross multiply
   41,571x = 64,498.50 × 64,498.50
4. Step 4: Simplify right side
   41,571x = 4,160,056,502.25
5. Step 5: Solve for x
   x = 4,160,056,502.25/41,571
6. Step 6: Final answer
   x = 100,071.12