Finding the Third Proportional to 32,174 and 49,510

Step by Step Solution

1. Step 1: Write the proportion equation
   32,174 : 49,510 = 49,510 : x
2. Step 2: Convert to fraction form
   32,174/49,510 = 49,510/x
3. Step 3: Cross multiply
   32,174x = 49,510 × 49,510
4. Step 4: Simplify right side
   32,174x = 2,451,240,100
5. Step 5: Solve for x
   x = 2,451,240,100/32,174
6. Step 6: Final answer
   x = 76,186.99