Finding the Third Proportional to 32,742 and 49,059

Step by Step Solution

1. Step 1: Write the proportion equation
   32,742 : 49,059 = 49,059 : x
2. Step 2: Convert to fraction form
   32,742/49,059 = 49,059/x
3. Step 3: Cross multiply
   32,742x = 49,059 × 49,059
4. Step 4: Simplify right side
   32,742x = 2,406,785,481
5. Step 5: Solve for x
   x = 2,406,785,481/32,742
6. Step 6: Final answer
   x = 73,507.59