Finding the Third Proportional to 51,819.50 and 64,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,819.50 : 64,288.50 = 64,288.50 : x
2. Step 2: Convert to fraction form
   51,819.50/64,288.50 = 64,288.50/x
3. Step 3: Cross multiply
   51,819.50x = 64,288.50 × 64,288.50
4. Step 4: Simplify right side
   51,819.50x = 4,133,011,232.25
5. Step 5: Solve for x
   x = 4,133,011,232.25/51,819.50
6. Step 6: Final answer
   x = 79,757.84