Finding the Third Proportional to 37,624 and 80,248

Step by Step Solution

1. Step 1: Write the proportion equation
   37,624 : 80,248 = 80,248 : x
2. Step 2: Convert to fraction form
   37,624/80,248 = 80,248/x
3. Step 3: Cross multiply
   37,624x = 80,248 × 80,248
4. Step 4: Simplify right side
   37,624x = 6,439,741,504
5. Step 5: Solve for x
   x = 6,439,741,504/37,624
6. Step 6: Final answer
   x = 171,160.47