Finding the Third Proportional to 33,966 and 72,445

Step by Step Solution

1. Step 1: Write the proportion equation
   33,966 : 72,445 = 72,445 : x
2. Step 2: Convert to fraction form
   33,966/72,445 = 72,445/x
3. Step 3: Cross multiply
   33,966x = 72,445 × 72,445
4. Step 4: Simplify right side
   33,966x = 5,248,278,025
5. Step 5: Solve for x
   x = 5,248,278,025/33,966
6. Step 6: Final answer
   x = 154,515.63