Finding the Third Proportional to 33,403 and 72,506

Step by Step Solution

1. Step 1: Write the proportion equation
   33,403 : 72,506 = 72,506 : x
2. Step 2: Convert to fraction form
   33,403/72,506 = 72,506/x
3. Step 3: Cross multiply
   33,403x = 72,506 × 72,506
4. Step 4: Simplify right side
   33,403x = 5,257,120,036
5. Step 5: Solve for x
   x = 5,257,120,036/33,403
6. Step 6: Final answer
   x = 157,384.67