Finding the Third Proportional to 32,015 and 42,829

Step by Step Solution

1. Step 1: Write the proportion equation
   32,015 : 42,829 = 42,829 : x
2. Step 2: Convert to fraction form
   32,015/42,829 = 42,829/x
3. Step 3: Cross multiply
   32,015x = 42,829 × 42,829
4. Step 4: Simplify right side
   32,015x = 1,834,323,241
5. Step 5: Solve for x
   x = 1,834,323,241/32,015
6. Step 6: Final answer
   x = 57,295.74