Finding the Third Proportional to 51,085.69 and 105,813.84

Step by Step Solution

1. Step 1: Write the proportion equation
   51,085.69 : 105,813.84 = 105,813.84 : x
2. Step 2: Convert to fraction form
   51,085.69/105,813.84 = 105,813.84/x
3. Step 3: Cross multiply
   51,085.69x = 105,813.84 × 105,813.84
4. Step 4: Simplify right side
   51,085.69x = 11,196,569,529.15
5. Step 5: Solve for x
   x = 11,196,569,529.15/51,085.69
6. Step 6: Final answer
   x = 219,172.34