Finding the Third Proportional to 51,675 and 105,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,675 : 105,541.50 = 105,541.50 : x
2. Step 2: Convert to fraction form
   51,675/105,541.50 = 105,541.50/x
3. Step 3: Cross multiply
   51,675x = 105,541.50 × 105,541.50
4. Step 4: Simplify right side
   51,675x = 11,139,008,222.25
5. Step 5: Solve for x
   x = 11,139,008,222.25/51,675
6. Step 6: Final answer
   x = 215,558.94