Finding the Third Proportional to 47,644 and 75,510

Step by Step Solution

1. Step 1: Write the proportion equation
   47,644 : 75,510 = 75,510 : x
2. Step 2: Convert to fraction form
   47,644/75,510 = 75,510/x
3. Step 3: Cross multiply
   47,644x = 75,510 × 75,510
4. Step 4: Simplify right side
   47,644x = 5,701,760,100
5. Step 5: Solve for x
   x = 5,701,760,100/47,644
6. Step 6: Final answer
   x = 119,674.25