Finding the Third Proportional to 25,814 and 37,965

Step by Step Solution

1. Step 1: Write the proportion equation
   25,814 : 37,965 = 37,965 : x
2. Step 2: Convert to fraction form
   25,814/37,965 = 37,965/x
3. Step 3: Cross multiply
   25,814x = 37,965 × 37,965
4. Step 4: Simplify right side
   25,814x = 1,441,341,225
5. Step 5: Solve for x
   x = 1,441,341,225/25,814
6. Step 6: Final answer
   x = 55,835.64