Finding the Third Proportional to 38,397 and 78,738

Step by Step Solution

1. Step 1: Write the proportion equation
   38,397 : 78,738 = 78,738 : x
2. Step 2: Convert to fraction form
   38,397/78,738 = 78,738/x
3. Step 3: Cross multiply
   38,397x = 78,738 × 78,738
4. Step 4: Simplify right side
   38,397x = 6,199,672,644
5. Step 5: Solve for x
   x = 6,199,672,644/38,397
6. Step 6: Final answer
   x = 161,462.42