Finding the Third Proportional to 37,394 and 80,116

Step by Step Solution

1. Step 1: Write the proportion equation
   37,394 : 80,116 = 80,116 : x
2. Step 2: Convert to fraction form
   37,394/80,116 = 80,116/x
3. Step 3: Cross multiply
   37,394x = 80,116 × 80,116
4. Step 4: Simplify right side
   37,394x = 6,418,573,456
5. Step 5: Solve for x
   x = 6,418,573,456/37,394
6. Step 6: Final answer
   x = 171,647.15