Finding the Third Proportional to 42,767 and 67,177.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,767 : 67,177.50 = 67,177.50 : x
2. Step 2: Convert to fraction form
   42,767/67,177.50 = 67,177.50/x
3. Step 3: Cross multiply
   42,767x = 67,177.50 × 67,177.50
4. Step 4: Simplify right side
   42,767x = 4,512,816,506.25
5. Step 5: Solve for x
   x = 4,512,816,506.25/42,767
6. Step 6: Final answer
   x = 105,521.00