Finding the Third Proportional to 25,830 and 52,308

Step by Step Solution

1. Step 1: Write the proportion equation
   25,830 : 52,308 = 52,308 : x
2. Step 2: Convert to fraction form
   25,830/52,308 = 52,308/x
3. Step 3: Cross multiply
   25,830x = 52,308 × 52,308
4. Step 4: Simplify right side
   25,830x = 2,736,126,864
5. Step 5: Solve for x
   x = 2,736,126,864/25,830
6. Step 6: Final answer
   x = 105,928.26