Finding the Third Proportional to 51,664.50 and 105,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,664.50 : 105,511.50 = 105,511.50 : x
2. Step 2: Convert to fraction form
   51,664.50/105,511.50 = 105,511.50/x
3. Step 3: Cross multiply
   51,664.50x = 105,511.50 × 105,511.50
4. Step 4: Simplify right side
   51,664.50x = 11,132,676,632.25
5. Step 5: Solve for x
   x = 11,132,676,632.25/51,664.50
6. Step 6: Final answer
   x = 215,480.20