Finding the Third Proportional to 32,409 and 43,074

Step by Step Solution

1. Step 1: Write the proportion equation
   32,409 : 43,074 = 43,074 : x
2. Step 2: Convert to fraction form
   32,409/43,074 = 43,074/x
3. Step 3: Cross multiply
   32,409x = 43,074 × 43,074
4. Step 4: Simplify right side
   32,409x = 1,855,369,476
5. Step 5: Solve for x
   x = 1,855,369,476/32,409
6. Step 6: Final answer
   x = 57,248.59