Finding the Third Proportional to 25,876 and 37,624

Step by Step Solution

1. Step 1: Write the proportion equation
   25,876 : 37,624 = 37,624 : x
2. Step 2: Convert to fraction form
   25,876/37,624 = 37,624/x
3. Step 3: Cross multiply
   25,876x = 37,624 × 37,624
4. Step 4: Simplify right side
   25,876x = 1,415,565,376
5. Step 5: Solve for x
   x = 1,415,565,376/25,876
6. Step 6: Final answer
   x = 54,705.73