Finding the Third Proportional to 25,834.50 and 38,265.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,834.50 : 38,265.75 = 38,265.75 : x
2. Step 2: Convert to fraction form
   25,834.50/38,265.75 = 38,265.75/x
3. Step 3: Cross multiply
   25,834.50x = 38,265.75 × 38,265.75
4. Step 4: Simplify right side
   25,834.50x = 1,464,267,623.06
5. Step 5: Solve for x
   x = 1,464,267,623.06/25,834.50
6. Step 6: Final answer
   x = 56,678.77