Finding the Third Proportional to 25,736 and 52,184

Step by Step Solution

1. Step 1: Write the proportion equation
   25,736 : 52,184 = 52,184 : x
2. Step 2: Convert to fraction form
   25,736/52,184 = 52,184/x
3. Step 3: Cross multiply
   25,736x = 52,184 × 52,184
4. Step 4: Simplify right side
   25,736x = 2,723,169,856
5. Step 5: Solve for x
   x = 2,723,169,856/25,736
6. Step 6: Final answer
   x = 105,811.70