Finding the Third Proportional to 33,814 and 72,150

Step by Step Solution

1. Step 1: Write the proportion equation
   33,814 : 72,150 = 72,150 : x
2. Step 2: Convert to fraction form
   33,814/72,150 = 72,150/x
3. Step 3: Cross multiply
   33,814x = 72,150 × 72,150
4. Step 4: Simplify right side
   33,814x = 5,205,622,500
5. Step 5: Solve for x
   x = 5,205,622,500/33,814
6. Step 6: Final answer
   x = 153,948.73