Finding the Third Proportional to 47,385 and 71,442

Step by Step Solution

1. Step 1: Write the proportion equation
   47,385 : 71,442 = 71,442 : x
2. Step 2: Convert to fraction form
   47,385/71,442 = 71,442/x
3. Step 3: Cross multiply
   47,385x = 71,442 × 71,442
4. Step 4: Simplify right side
   47,385x = 5,103,959,364
5. Step 5: Solve for x
   x = 5,103,959,364/47,385
6. Step 6: Final answer
   x = 107,712.55