Finding the Third Proportional to 25,583 and 52,435

Step by Step Solution

1. Step 1: Write the proportion equation
   25,583 : 52,435 = 52,435 : x
2. Step 2: Convert to fraction form
   25,583/52,435 = 52,435/x
3. Step 3: Cross multiply
   25,583x = 52,435 × 52,435
4. Step 4: Simplify right side
   25,583x = 2,749,429,225
5. Step 5: Solve for x
   x = 2,749,429,225/25,583
6. Step 6: Final answer
   x = 107,470.95