Finding the Third Proportional to 40,791 and 83,777

Step by Step Solution

1. Step 1: Write the proportion equation
   40,791 : 83,777 = 83,777 : x
2. Step 2: Convert to fraction form
   40,791/83,777 = 83,777/x
3. Step 3: Cross multiply
   40,791x = 83,777 × 83,777
4. Step 4: Simplify right side
   40,791x = 7,018,585,729
5. Step 5: Solve for x
   x = 7,018,585,729/40,791
6. Step 6: Final answer
   x = 172,062.11