Finding the Third Proportional to 37,832 and 81,442

Step by Step Solution

1. Step 1: Write the proportion equation
   37,832 : 81,442 = 81,442 : x
2. Step 2: Convert to fraction form
   37,832/81,442 = 81,442/x
3. Step 3: Cross multiply
   37,832x = 81,442 × 81,442
4. Step 4: Simplify right side
   37,832x = 6,632,799,364
5. Step 5: Solve for x
   x = 6,632,799,364/37,832
6. Step 6: Final answer
   x = 175,322.46