Finding the Third Proportional to 10,778 and 25,385

Step by Step Solution

1. Step 1: Write the proportion equation
   10,778 : 25,385 = 25,385 : x
2. Step 2: Convert to fraction form
   10,778/25,385 = 25,385/x
3. Step 3: Cross multiply
   10,778x = 25,385 × 25,385
4. Step 4: Simplify right side
   10,778x = 644,398,225
5. Step 5: Solve for x
   x = 644,398,225/10,778
6. Step 6: Final answer
   x = 59,788.29