Finding the Third Proportional to 25,948 and 36,978

Step by Step Solution

1. Step 1: Write the proportion equation
   25,948 : 36,978 = 36,978 : x
2. Step 2: Convert to fraction form
   25,948/36,978 = 36,978/x
3. Step 3: Cross multiply
   25,948x = 36,978 × 36,978
4. Step 4: Simplify right side
   25,948x = 1,367,372,484
5. Step 5: Solve for x
   x = 1,367,372,484/25,948
6. Step 6: Final answer
   x = 52,696.64