Finding the Third Proportional to 25,786.50 and 34,791.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,786.50 : 34,791.75 = 34,791.75 : x
2. Step 2: Convert to fraction form
   25,786.50/34,791.75 = 34,791.75/x
3. Step 3: Cross multiply
   25,786.50x = 34,791.75 × 34,791.75
4. Step 4: Simplify right side
   25,786.50x = 1,210,465,868.06
5. Step 5: Solve for x
   x = 1,210,465,868.06/25,786.50
6. Step 6: Final answer
   x = 46,941.84