Finding the Third Proportional to 52,020 and 80,514

Step by Step Solution

1. Step 1: Write the proportion equation
   52,020 : 80,514 = 80,514 : x
2. Step 2: Convert to fraction form
   52,020/80,514 = 80,514/x
3. Step 3: Cross multiply
   52,020x = 80,514 × 80,514
4. Step 4: Simplify right side
   52,020x = 6,482,504,196
5. Step 5: Solve for x
   x = 6,482,504,196/52,020
6. Step 6: Final answer
   x = 124,615.61