Finding the Third Proportional to 32,112 and 42,609

Step by Step Solution

1. Step 1: Write the proportion equation
   32,112 : 42,609 = 42,609 : x
2. Step 2: Convert to fraction form
   32,112/42,609 = 42,609/x
3. Step 3: Cross multiply
   32,112x = 42,609 × 42,609
4. Step 4: Simplify right side
   32,112x = 1,815,526,881
5. Step 5: Solve for x
   x = 1,815,526,881/32,112
6. Step 6: Final answer
   x = 56,537.33