Finding the Third Proportional to 51,864 and 105,630

Step by Step Solution

1. Step 1: Write the proportion equation
   51,864 : 105,630 = 105,630 : x
2. Step 2: Convert to fraction form
   51,864/105,630 = 105,630/x
3. Step 3: Cross multiply
   51,864x = 105,630 × 105,630
4. Step 4: Simplify right side
   51,864x = 11,157,696,900
5. Step 5: Solve for x
   x = 11,157,696,900/51,864
6. Step 6: Final answer
   x = 215,133.75