Finding the Third Proportional to 41,950.50 and 81,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,950.50 : 81,775.50 = 81,775.50 : x
2. Step 2: Convert to fraction form
   41,950.50/81,775.50 = 81,775.50/x
3. Step 3: Cross multiply
   41,950.50x = 81,775.50 × 81,775.50
4. Step 4: Simplify right side
   41,950.50x = 6,687,232,400.25
5. Step 5: Solve for x
   x = 6,687,232,400.25/41,950.50
6. Step 6: Final answer
   x = 159,407.69