Finding the Third Proportional to 25,758 and 38,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,758 : 38,839.50 = 38,839.50 : x
2. Step 2: Convert to fraction form
   25,758/38,839.50 = 38,839.50/x
3. Step 3: Cross multiply
   25,758x = 38,839.50 × 38,839.50
4. Step 4: Simplify right side
   25,758x = 1,508,506,760.25
5. Step 5: Solve for x
   x = 1,508,506,760.25/25,758
6. Step 6: Final answer
   x = 58,564.59