Finding the Third Proportional to 37,376 and 81,632

Step by Step Solution

1. Step 1: Write the proportion equation
   37,376 : 81,632 = 81,632 : x
2. Step 2: Convert to fraction form
   37,376/81,632 = 81,632/x
3. Step 3: Cross multiply
   37,376x = 81,632 × 81,632
4. Step 4: Simplify right side
   37,376x = 6,663,783,424
5. Step 5: Solve for x
   x = 6,663,783,424/37,376
6. Step 6: Final answer
   x = 178,290.44