Finding the Third Proportional to 33,778.50 and 71,931

Step by Step Solution

1. Step 1: Write the proportion equation
   33,778.50 : 71,931 = 71,931 : x
2. Step 2: Convert to fraction form
   33,778.50/71,931 = 71,931/x
3. Step 3: Cross multiply
   33,778.50x = 71,931 × 71,931
4. Step 4: Simplify right side
   33,778.50x = 5,174,068,761
5. Step 5: Solve for x
   x = 5,174,068,761/33,778.50
6. Step 6: Final answer
   x = 153,176.39