Finding the Third Proportional to 33,494 and 72,814

Step by Step Solution

1. Step 1: Write the proportion equation
   33,494 : 72,814 = 72,814 : x
2. Step 2: Convert to fraction form
   33,494/72,814 = 72,814/x
3. Step 3: Cross multiply
   33,494x = 72,814 × 72,814
4. Step 4: Simplify right side
   33,494x = 5,301,878,596
5. Step 5: Solve for x
   x = 5,301,878,596/33,494
6. Step 6: Final answer
   x = 158,293.38