Finding the Third Proportional to 32,114 and 42,610

Step by Step Solution

1. Step 1: Write the proportion equation
   32,114 : 42,610 = 42,610 : x
2. Step 2: Convert to fraction form
   32,114/42,610 = 42,610/x
3. Step 3: Cross multiply
   32,114x = 42,610 × 42,610
4. Step 4: Simplify right side
   32,114x = 1,815,612,100
5. Step 5: Solve for x
   x = 1,815,612,100/32,114
6. Step 6: Final answer
   x = 56,536.47