Finding the Third Proportional to 25,722 and 52,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,722 : 52,159.50 = 52,159.50 : x
2. Step 2: Convert to fraction form
   25,722/52,159.50 = 52,159.50/x
3. Step 3: Cross multiply
   25,722x = 52,159.50 × 52,159.50
4. Step 4: Simplify right side
   25,722x = 2,720,613,440.25
5. Step 5: Solve for x
   x = 2,720,613,440.25/25,722
6. Step 6: Final answer
   x = 105,769.90