Finding the Third Proportional to 51,815.50 and 82,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,815.50 : 82,319.50 = 82,319.50 : x
2. Step 2: Convert to fraction form
   51,815.50/82,319.50 = 82,319.50/x
3. Step 3: Cross multiply
   51,815.50x = 82,319.50 × 82,319.50
4. Step 4: Simplify right side
   51,815.50x = 6,776,500,080.25
5. Step 5: Solve for x
   x = 6,776,500,080.25/51,815.50
6. Step 6: Final answer
   x = 130,781.33