Finding the Third Proportional to 37,662 and 81,880

Step by Step Solution

1. Step 1: Write the proportion equation
   37,662 : 81,880 = 81,880 : x
2. Step 2: Convert to fraction form
   37,662/81,880 = 81,880/x
3. Step 3: Cross multiply
   37,662x = 81,880 × 81,880
4. Step 4: Simplify right side
   37,662x = 6,704,334,400
5. Step 5: Solve for x
   x = 6,704,334,400/37,662
6. Step 6: Final answer
   x = 178,013.23