Finding the Third Proportional to 32,778.50 and 71,875

Step by Step Solution

1. Step 1: Write the proportion equation
   32,778.50 : 71,875 = 71,875 : x
2. Step 2: Convert to fraction form
   32,778.50/71,875 = 71,875/x
3. Step 3: Cross multiply
   32,778.50x = 71,875 × 71,875
4. Step 4: Simplify right side
   32,778.50x = 5,166,015,625
5. Step 5: Solve for x
   x = 5,166,015,625/32,778.50
6. Step 6: Final answer
   x = 157,603.78