Finding the Third Proportional to 32,858 and 52,098

Step by Step Solution

1. Step 1: Write the proportion equation
   32,858 : 52,098 = 52,098 : x
2. Step 2: Convert to fraction form
   32,858/52,098 = 52,098/x
3. Step 3: Cross multiply
   32,858x = 52,098 × 52,098
4. Step 4: Simplify right side
   32,858x = 2,714,201,604
5. Step 5: Solve for x
   x = 2,714,201,604/32,858
6. Step 6: Final answer
   x = 82,603.98