Finding the Third Proportional to 38,221 and 78,142

Step by Step Solution

1. Step 1: Write the proportion equation
   38,221 : 78,142 = 78,142 : x
2. Step 2: Convert to fraction form
   38,221/78,142 = 78,142/x
3. Step 3: Cross multiply
   38,221x = 78,142 × 78,142
4. Step 4: Simplify right side
   38,221x = 6,106,172,164
5. Step 5: Solve for x
   x = 6,106,172,164/38,221
6. Step 6: Final answer
   x = 159,759.61