Finding the Third Proportional to 47,682 and 72,522

Step by Step Solution

1. Step 1: Write the proportion equation
   47,682 : 72,522 = 72,522 : x
2. Step 2: Convert to fraction form
   47,682/72,522 = 72,522/x
3. Step 3: Cross multiply
   47,682x = 72,522 × 72,522
4. Step 4: Simplify right side
   47,682x = 5,259,440,484
5. Step 5: Solve for x
   x = 5,259,440,484/47,682
6. Step 6: Final answer
   x = 110,302.43