Finding the Third Proportional to 34,574.34 and 75,432.09

Step by Step Solution

1. Step 1: Write the proportion equation
   34,574.34 : 75,432.09 = 75,432.09 : x
2. Step 2: Convert to fraction form
   34,574.34/75,432.09 = 75,432.09/x
3. Step 3: Cross multiply
   34,574.34x = 75,432.09 × 75,432.09
4. Step 4: Simplify right side
   34,574.34x = 5,690,000,767.51
5. Step 5: Solve for x
   x = 5,690,000,767.51/34,574.34
6. Step 6: Final answer
   x = 164,572.92