Finding the Third Proportional to 33,764 and 72,761

Step by Step Solution

1. Step 1: Write the proportion equation
   33,764 : 72,761 = 72,761 : x
2. Step 2: Convert to fraction form
   33,764/72,761 = 72,761/x
3. Step 3: Cross multiply
   33,764x = 72,761 × 72,761
4. Step 4: Simplify right side
   33,764x = 5,294,163,121
5. Step 5: Solve for x
   x = 5,294,163,121/33,764
6. Step 6: Final answer
   x = 156,799.05