Finding the Third Proportional to 47,582 and 71,238

Step by Step Solution

1. Step 1: Write the proportion equation
   47,582 : 71,238 = 71,238 : x
2. Step 2: Convert to fraction form
   47,582/71,238 = 71,238/x
3. Step 3: Cross multiply
   47,582x = 71,238 × 71,238
4. Step 4: Simplify right side
   47,582x = 5,074,852,644
5. Step 5: Solve for x
   x = 5,074,852,644/47,582
6. Step 6: Final answer
   x = 106,654.88