Finding the Third Proportional to 37,674 and 74,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,674 : 74,416.50 = 74,416.50 : x
2. Step 2: Convert to fraction form
   37,674/74,416.50 = 74,416.50/x
3. Step 3: Cross multiply
   37,674x = 74,416.50 × 74,416.50
4. Step 4: Simplify right side
   37,674x = 5,537,815,472.25
5. Step 5: Solve for x
   x = 5,537,815,472.25/37,674
6. Step 6: Final answer
   x = 146,993.03