Finding the Third Proportional to 25,830 and 52,755.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,830 : 52,755.75 = 52,755.75 : x
2. Step 2: Convert to fraction form
   25,830/52,755.75 = 52,755.75/x
3. Step 3: Cross multiply
   25,830x = 52,755.75 × 52,755.75
4. Step 4: Simplify right side
   25,830x = 2,783,169,158.06
5. Step 5: Solve for x
   x = 2,783,169,158.06/25,830
6. Step 6: Final answer
   x = 107,749.48