Finding the Third Proportional to 33,474 and 72,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,474 : 72,781.50 = 72,781.50 : x
2. Step 2: Convert to fraction form
   33,474/72,781.50 = 72,781.50/x
3. Step 3: Cross multiply
   33,474x = 72,781.50 × 72,781.50
4. Step 4: Simplify right side
   33,474x = 5,297,146,742.25
5. Step 5: Solve for x
   x = 5,297,146,742.25/33,474
6. Step 6: Final answer
   x = 158,246.60