Finding the Third Proportional to 37,898 and 80,414

Step by Step Solution

1. Step 1: Write the proportion equation
   37,898 : 80,414 = 80,414 : x
2. Step 2: Convert to fraction form
   37,898/80,414 = 80,414/x
3. Step 3: Cross multiply
   37,898x = 80,414 × 80,414
4. Step 4: Simplify right side
   37,898x = 6,466,411,396
5. Step 5: Solve for x
   x = 6,466,411,396/37,898
6. Step 6: Final answer
   x = 170,626.72