Finding the Third Proportional to 37,398 and 80,124

Step by Step Solution

1. Step 1: Write the proportion equation
   37,398 : 80,124 = 80,124 : x
2. Step 2: Convert to fraction form
   37,398/80,124 = 80,124/x
3. Step 3: Cross multiply
   37,398x = 80,124 × 80,124
4. Step 4: Simplify right side
   37,398x = 6,419,855,376
5. Step 5: Solve for x
   x = 6,419,855,376/37,398
6. Step 6: Final answer
   x = 171,663.07