Finding the Third Proportional to 53,923.50 and 82,764

Step by Step Solution

1. Step 1: Write the proportion equation
   53,923.50 : 82,764 = 82,764 : x
2. Step 2: Convert to fraction form
   53,923.50/82,764 = 82,764/x
3. Step 3: Cross multiply
   53,923.50x = 82,764 × 82,764
4. Step 4: Simplify right side
   53,923.50x = 6,849,879,696
5. Step 5: Solve for x
   x = 6,849,879,696/53,923.50
6. Step 6: Final answer
   x = 127,029.58