Finding the Third Proportional to 25,541 and 41,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,541 : 41,011.50 = 41,011.50 : x
2. Step 2: Convert to fraction form
   25,541/41,011.50 = 41,011.50/x
3. Step 3: Cross multiply
   25,541x = 41,011.50 × 41,011.50
4. Step 4: Simplify right side
   25,541x = 1,681,943,132.25
5. Step 5: Solve for x
   x = 1,681,943,132.25/25,541
6. Step 6: Final answer
   x = 65,852.67