Finding the Third Proportional to 42,772.50 and 65,616.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,772.50 : 65,616.75 = 65,616.75 : x
2. Step 2: Convert to fraction form
   42,772.50/65,616.75 = 65,616.75/x
3. Step 3: Cross multiply
   42,772.50x = 65,616.75 × 65,616.75
4. Step 4: Simplify right side
   42,772.50x = 4,305,557,880.56
5. Step 5: Solve for x
   x = 4,305,557,880.56/42,772.50
6. Step 6: Final answer
   x = 100,661.82