Finding the Third Proportional to 10,054 and 17,948

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054 : 17,948 = 17,948 : x
2. Step 2: Convert to fraction form
   10,054/17,948 = 17,948/x
3. Step 3: Cross multiply
   10,054x = 17,948 × 17,948
4. Step 4: Simplify right side
   10,054x = 322,130,704
5. Step 5: Solve for x
   x = 322,130,704/10,054
6. Step 6: Final answer
   x = 32,040.05