Finding the Third Proportional to 51,865.50 and 105,633

Step by Step Solution

1. Step 1: Write the proportion equation
   51,865.50 : 105,633 = 105,633 : x
2. Step 2: Convert to fraction form
   51,865.50/105,633 = 105,633/x
3. Step 3: Cross multiply
   51,865.50x = 105,633 × 105,633
4. Step 4: Simplify right side
   51,865.50x = 11,158,330,689
5. Step 5: Solve for x
   x = 11,158,330,689/51,865.50
6. Step 6: Final answer
   x = 215,139.75