Finding the Third Proportional to 47,748 and 73,782

Step by Step Solution

1. Step 1: Write the proportion equation
   47,748 : 73,782 = 73,782 : x
2. Step 2: Convert to fraction form
   47,748/73,782 = 73,782/x
3. Step 3: Cross multiply
   47,748x = 73,782 × 73,782
4. Step 4: Simplify right side
   47,748x = 5,443,783,524
5. Step 5: Solve for x
   x = 5,443,783,524/47,748
6. Step 6: Final answer
   x = 114,010.71