Finding the Third Proportional to 35,724 and 76,632

Step by Step Solution

1. Step 1: Write the proportion equation
   35,724 : 76,632 = 76,632 : x
2. Step 2: Convert to fraction form
   35,724/76,632 = 76,632/x
3. Step 3: Cross multiply
   35,724x = 76,632 × 76,632
4. Step 4: Simplify right side
   35,724x = 5,872,463,424
5. Step 5: Solve for x
   x = 5,872,463,424/35,724
6. Step 6: Final answer
   x = 164,384.26