Finding the Third Proportional to 12,563 and 27,314

Step by Step Solution

1. Step 1: Write the proportion equation
   12,563 : 27,314 = 27,314 : x
2. Step 2: Convert to fraction form
   12,563/27,314 = 27,314/x
3. Step 3: Cross multiply
   12,563x = 27,314 × 27,314
4. Step 4: Simplify right side
   12,563x = 746,054,596
5. Step 5: Solve for x
   x = 746,054,596/12,563
6. Step 6: Final answer
   x = 59,385.07