Finding the Third Proportional to 25,910 and 38,014

Step by Step Solution

1. Step 1: Write the proportion equation
   25,910 : 38,014 = 38,014 : x
2. Step 2: Convert to fraction form
   25,910/38,014 = 38,014/x
3. Step 3: Cross multiply
   25,910x = 38,014 × 38,014
4. Step 4: Simplify right side
   25,910x = 1,445,064,196
5. Step 5: Solve for x
   x = 1,445,064,196/25,910
6. Step 6: Final answer
   x = 55,772.45