Finding the Third Proportional to 32,667.50 and 47,741

Step by Step Solution

1. Step 1: Write the proportion equation
   32,667.50 : 47,741 = 47,741 : x
2. Step 2: Convert to fraction form
   32,667.50/47,741 = 47,741/x
3. Step 3: Cross multiply
   32,667.50x = 47,741 × 47,741
4. Step 4: Simplify right side
   32,667.50x = 2,279,203,081
5. Step 5: Solve for x
   x = 2,279,203,081/32,667.50
6. Step 6: Final answer
   x = 69,769.74