Finding the Third Proportional to 25,882.50 and 35,361

Step by Step Solution

1. Step 1: Write the proportion equation
   25,882.50 : 35,361 = 35,361 : x
2. Step 2: Convert to fraction form
   25,882.50/35,361 = 35,361/x
3. Step 3: Cross multiply
   25,882.50x = 35,361 × 35,361
4. Step 4: Simplify right side
   25,882.50x = 1,250,400,321
5. Step 5: Solve for x
   x = 1,250,400,321/25,882.50
6. Step 6: Final answer
   x = 48,310.65