Finding the Third Proportional to 41,802 and 81,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,802 : 81,508.50 = 81,508.50 : x
2. Step 2: Convert to fraction form
   41,802/81,508.50 = 81,508.50/x
3. Step 3: Cross multiply
   41,802x = 81,508.50 × 81,508.50
4. Step 4: Simplify right side
   41,802x = 6,643,635,572.25
5. Step 5: Solve for x
   x = 6,643,635,572.25/41,802
6. Step 6: Final answer
   x = 158,931.05