Finding the Third Proportional to 10,086 and 18,948

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086 : 18,948 = 18,948 : x
2. Step 2: Convert to fraction form
   10,086/18,948 = 18,948/x
3. Step 3: Cross multiply
   10,086x = 18,948 × 18,948
4. Step 4: Simplify right side
   10,086x = 359,026,704
5. Step 5: Solve for x
   x = 359,026,704/10,086
6. Step 6: Final answer
   x = 35,596.54