Finding the Third Proportional to 25,866 and 37,614

Step by Step Solution

1. Step 1: Write the proportion equation
   25,866 : 37,614 = 37,614 : x
2. Step 2: Convert to fraction form
   25,866/37,614 = 37,614/x
3. Step 3: Cross multiply
   25,866x = 37,614 × 37,614
4. Step 4: Simplify right side
   25,866x = 1,414,812,996
5. Step 5: Solve for x
   x = 1,414,812,996/25,866
6. Step 6: Final answer
   x = 54,697.79