Finding the Third Proportional to 25,704 and 31,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,704 : 31,423.50 = 31,423.50 : x
2. Step 2: Convert to fraction form
   25,704/31,423.50 = 31,423.50/x
3. Step 3: Cross multiply
   25,704x = 31,423.50 × 31,423.50
4. Step 4: Simplify right side
   25,704x = 987,436,352.25
5. Step 5: Solve for x
   x = 987,436,352.25/25,704
6. Step 6: Final answer
   x = 38,415.67