Finding the Third Proportional to 32,780 and 71,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,780 : 71,877.50 = 71,877.50 : x
2. Step 2: Convert to fraction form
   32,780/71,877.50 = 71,877.50/x
3. Step 3: Cross multiply
   32,780x = 71,877.50 × 71,877.50
4. Step 4: Simplify right side
   32,780x = 5,166,375,006.25
5. Step 5: Solve for x
   x = 5,166,375,006.25/32,780
6. Step 6: Final answer
   x = 157,607.54