Finding the Third Proportional to 33,972 and 72,594

Step by Step Solution

1. Step 1: Write the proportion equation
   33,972 : 72,594 = 72,594 : x
2. Step 2: Convert to fraction form
   33,972/72,594 = 72,594/x
3. Step 3: Cross multiply
   33,972x = 72,594 × 72,594
4. Step 4: Simplify right side
   33,972x = 5,269,888,836
5. Step 5: Solve for x
   x = 5,269,888,836/33,972
6. Step 6: Final answer
   x = 155,124.48