Finding the Third Proportional to 37,667 and 74,389

Step by Step Solution

1. Step 1: Write the proportion equation
   37,667 : 74,389 = 74,389 : x
2. Step 2: Convert to fraction form
   37,667/74,389 = 74,389/x
3. Step 3: Cross multiply
   37,667x = 74,389 × 74,389
4. Step 4: Simplify right side
   37,667x = 5,533,723,321
5. Step 5: Solve for x
   x = 5,533,723,321/37,667
6. Step 6: Final answer
   x = 146,911.71