Finding the Third Proportional to 41,913.75 and 81,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,913.75 : 81,718.50 = 81,718.50 : x
2. Step 2: Convert to fraction form
   41,913.75/81,718.50 = 81,718.50/x
3. Step 3: Cross multiply
   41,913.75x = 81,718.50 × 81,718.50
4. Step 4: Simplify right side
   41,913.75x = 6,677,913,242.25
5. Step 5: Solve for x
   x = 6,677,913,242.25/41,913.75
6. Step 6: Final answer
   x = 159,325.12