Finding the Third Proportional to 25,435.50 and 36,695.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,435.50 : 36,695.25 = 36,695.25 : x
2. Step 2: Convert to fraction form
   25,435.50/36,695.25 = 36,695.25/x
3. Step 3: Cross multiply
   25,435.50x = 36,695.25 × 36,695.25
4. Step 4: Simplify right side
   25,435.50x = 1,346,541,372.56
5. Step 5: Solve for x
   x = 1,346,541,372.56/25,435.50
6. Step 6: Final answer
   x = 52,939.45