Finding the Third Proportional to 32,842 and 52,012

Step by Step Solution

1. Step 1: Write the proportion equation
   32,842 : 52,012 = 52,012 : x
2. Step 2: Convert to fraction form
   32,842/52,012 = 52,012/x
3. Step 3: Cross multiply
   32,842x = 52,012 × 52,012
4. Step 4: Simplify right side
   32,842x = 2,705,248,144
5. Step 5: Solve for x
   x = 2,705,248,144/32,842
6. Step 6: Final answer
   x = 82,371.60