Finding the Third Proportional to 37,662 and 74,372

Step by Step Solution

1. Step 1: Write the proportion equation
   37,662 : 74,372 = 74,372 : x
2. Step 2: Convert to fraction form
   37,662/74,372 = 74,372/x
3. Step 3: Cross multiply
   37,662x = 74,372 × 74,372
4. Step 4: Simplify right side
   37,662x = 5,531,194,384
5. Step 5: Solve for x
   x = 5,531,194,384/37,662
6. Step 6: Final answer
   x = 146,864.06