Finding the Third Proportional to 25,618 and 52,506

Step by Step Solution

1. Step 1: Write the proportion equation
   25,618 : 52,506 = 52,506 : x
2. Step 2: Convert to fraction form
   25,618/52,506 = 52,506/x
3. Step 3: Cross multiply
   25,618x = 52,506 × 52,506
4. Step 4: Simplify right side
   25,618x = 2,756,880,036
5. Step 5: Solve for x
   x = 2,756,880,036/25,618
6. Step 6: Final answer
   x = 107,614.96