Finding the Third Proportional to 34,525 and 53,314

Step by Step Solution

1. Step 1: Write the proportion equation
   34,525 : 53,314 = 53,314 : x
2. Step 2: Convert to fraction form
   34,525/53,314 = 53,314/x
3. Step 3: Cross multiply
   34,525x = 53,314 × 53,314
4. Step 4: Simplify right side
   34,525x = 2,842,382,596
5. Step 5: Solve for x
   x = 2,842,382,596/34,525
6. Step 6: Final answer
   x = 82,328.24