Finding the Third Proportional to 37,672 and 74,396

Step by Step Solution

1. Step 1: Write the proportion equation
   37,672 : 74,396 = 74,396 : x
2. Step 2: Convert to fraction form
   37,672/74,396 = 74,396/x
3. Step 3: Cross multiply
   37,672x = 74,396 × 74,396
4. Step 4: Simplify right side
   37,672x = 5,534,764,816
5. Step 5: Solve for x
   x = 5,534,764,816/37,672
6. Step 6: Final answer
   x = 146,919.86