Finding the Third Proportional to 10,084.50 and 25,408.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.50 : 25,408.69 = 25,408.69 : x
2. Step 2: Convert to fraction form
   10,084.50/25,408.69 = 25,408.69/x
3. Step 3: Cross multiply
   10,084.50x = 25,408.69 × 25,408.69
4. Step 4: Simplify right side
   10,084.50x = 645,601,400.47
5. Step 5: Solve for x
   x = 645,601,400.47/10,084.50
6. Step 6: Final answer
   x = 64,019.18