Finding the Third Proportional to 25,915.50 and 41,256.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,915.50 : 41,256.75 = 41,256.75 : x
2. Step 2: Convert to fraction form
   25,915.50/41,256.75 = 41,256.75/x
3. Step 3: Cross multiply
   25,915.50x = 41,256.75 × 41,256.75
4. Step 4: Simplify right side
   25,915.50x = 1,702,119,420.56
5. Step 5: Solve for x
   x = 1,702,119,420.56/25,915.50
6. Step 6: Final answer
   x = 65,679.59