Finding the Third Proportional to 6,133 and 13,382

Step by Step Solution

1. Step 1: Write the proportion equation
   6,133 : 13,382 = 13,382 : x
2. Step 2: Convert to fraction form
   6,133/13,382 = 13,382/x
3. Step 3: Cross multiply
   6,133x = 13,382 × 13,382
4. Step 4: Simplify right side
   6,133x = 179,077,924
5. Step 5: Solve for x
   x = 179,077,924/6,133
6. Step 6: Final answer
   x = 29,199.07