Finding the Third Proportional to 47,358 and 72,657

Step by Step Solution

1. Step 1: Write the proportion equation
   47,358 : 72,657 = 72,657 : x
2. Step 2: Convert to fraction form
   47,358/72,657 = 72,657/x
3. Step 3: Cross multiply
   47,358x = 72,657 × 72,657
4. Step 4: Simplify right side
   47,358x = 5,279,039,649
5. Step 5: Solve for x
   x = 5,279,039,649/47,358
6. Step 6: Final answer
   x = 111,470.92