Finding the Third Proportional to 25,782.19 and 41,024.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,782.19 : 41,024.25 = 41,024.25 : x
2. Step 2: Convert to fraction form
   25,782.19/41,024.25 = 41,024.25/x
3. Step 3: Cross multiply
   25,782.19x = 41,024.25 × 41,024.25
4. Step 4: Simplify right side
   25,782.19x = 1,682,989,088.06
5. Step 5: Solve for x
   x = 1,682,989,088.06/25,782.19
6. Step 6: Final answer
   x = 65,277.20