Finding the Third Proportional to 52,864.75 and 80,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,864.75 : 80,971.50 = 80,971.50 : x
2. Step 2: Convert to fraction form
   52,864.75/80,971.50 = 80,971.50/x
3. Step 3: Cross multiply
   52,864.75x = 80,971.50 × 80,971.50
4. Step 4: Simplify right side
   52,864.75x = 6,556,383,812.25
5. Step 5: Solve for x
   x = 6,556,383,812.25/52,864.75
6. Step 6: Final answer
   x = 124,021.84