Finding the Third Proportional to 13,138 and 30,382

Step by Step Solution

1. Step 1: Write the proportion equation
   13,138 : 30,382 = 30,382 : x
2. Step 2: Convert to fraction form
   13,138/30,382 = 30,382/x
3. Step 3: Cross multiply
   13,138x = 30,382 × 30,382
4. Step 4: Simplify right side
   13,138x = 923,065,924
5. Step 5: Solve for x
   x = 923,065,924/13,138
6. Step 6: Final answer
   x = 70,259.24