Finding the Third Proportional to 15,072 and 32,826

Step by Step Solution

1. Step 1: Write the proportion equation
   15,072 : 32,826 = 32,826 : x
2. Step 2: Convert to fraction form
   15,072/32,826 = 32,826/x
3. Step 3: Cross multiply
   15,072x = 32,826 × 32,826
4. Step 4: Simplify right side
   15,072x = 1,077,546,276
5. Step 5: Solve for x
   x = 1,077,546,276/15,072
6. Step 6: Final answer
   x = 71,493.25