Finding the Third Proportional to 32,922 and 53,018

Step by Step Solution

1. Step 1: Write the proportion equation
   32,922 : 53,018 = 53,018 : x
2. Step 2: Convert to fraction form
   32,922/53,018 = 53,018/x
3. Step 3: Cross multiply
   32,922x = 53,018 × 53,018
4. Step 4: Simplify right side
   32,922x = 2,810,908,324
5. Step 5: Solve for x
   x = 2,810,908,324/32,922
6. Step 6: Final answer
   x = 85,380.85