Finding the Third Proportional to 51,806.50 and 76,009.88

Step by Step Solution

1. Step 1: Write the proportion equation
   51,806.50 : 76,009.88 = 76,009.88 : x
2. Step 2: Convert to fraction form
   51,806.50/76,009.88 = 76,009.88/x
3. Step 3: Cross multiply
   51,806.50x = 76,009.88 × 76,009.88
4. Step 4: Simplify right side
   51,806.50x = 5,777,501,097.52
5. Step 5: Solve for x
   x = 5,777,501,097.52/51,806.50
6. Step 6: Final answer
   x = 111,520.78