Finding the Third Proportional to 37,400 and 80,632

Step by Step Solution

1. Step 1: Write the proportion equation
   37,400 : 80,632 = 80,632 : x
2. Step 2: Convert to fraction form
   37,400/80,632 = 80,632/x
3. Step 3: Cross multiply
   37,400x = 80,632 × 80,632
4. Step 4: Simplify right side
   37,400x = 6,501,519,424
5. Step 5: Solve for x
   x = 6,501,519,424/37,400
6. Step 6: Final answer
   x = 173,837.42