Finding the Third Proportional to 42,777 and 65,835

Step by Step Solution

1. Step 1: Write the proportion equation
   42,777 : 65,835 = 65,835 : x
2. Step 2: Convert to fraction form
   42,777/65,835 = 65,835/x
3. Step 3: Cross multiply
   42,777x = 65,835 × 65,835
4. Step 4: Simplify right side
   42,777x = 4,334,247,225
5. Step 5: Solve for x
   x = 4,334,247,225/42,777
6. Step 6: Final answer
   x = 101,321.91