Finding the Third Proportional to 32,107 and 42,602

Step by Step Solution

1. Step 1: Write the proportion equation
   32,107 : 42,602 = 42,602 : x
2. Step 2: Convert to fraction form
   32,107/42,602 = 42,602/x
3. Step 3: Cross multiply
   32,107x = 42,602 × 42,602
4. Step 4: Simplify right side
   32,107x = 1,814,930,404
5. Step 5: Solve for x
   x = 1,814,930,404/32,107
6. Step 6: Final answer
   x = 56,527.56