Finding the Third Proportional to 30,138 and 34,518

Step by Step Solution

1. Step 1: Write the proportion equation
   30,138 : 34,518 = 34,518 : x
2. Step 2: Convert to fraction form
   30,138/34,518 = 34,518/x
3. Step 3: Cross multiply
   30,138x = 34,518 × 34,518
4. Step 4: Simplify right side
   30,138x = 1,191,492,324
5. Step 5: Solve for x
   x = 1,191,492,324/30,138
6. Step 6: Final answer
   x = 39,534.55