Finding the Third Proportional to 25,780 and 52,312

Step by Step Solution

1. Step 1: Write the proportion equation
   25,780 : 52,312 = 52,312 : x
2. Step 2: Convert to fraction form
   25,780/52,312 = 52,312/x
3. Step 3: Cross multiply
   25,780x = 52,312 × 52,312
4. Step 4: Simplify right side
   25,780x = 2,736,545,344
5. Step 5: Solve for x
   x = 2,736,545,344/25,780
6. Step 6: Final answer
   x = 106,149.94