Finding the Third Proportional to 10,314 and 15,566

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314 : 15,566 = 15,566 : x
2. Step 2: Convert to fraction form
   10,314/15,566 = 15,566/x
3. Step 3: Cross multiply
   10,314x = 15,566 × 15,566
4. Step 4: Simplify right side
   10,314x = 242,300,356
5. Step 5: Solve for x
   x = 242,300,356/10,314
6. Step 6: Final answer
   x = 23,492.38