Finding the Third Proportional to 38,642 and 80,632

Step by Step Solution

1. Step 1: Write the proportion equation
   38,642 : 80,632 = 80,632 : x
2. Step 2: Convert to fraction form
   38,642/80,632 = 80,632/x
3. Step 3: Cross multiply
   38,642x = 80,632 × 80,632
4. Step 4: Simplify right side
   38,642x = 6,501,519,424
5. Step 5: Solve for x
   x = 6,501,519,424/38,642
6. Step 6: Final answer
   x = 168,250.08