Finding the Third Proportional to 5,643 and 13,032

Step by Step Solution

1. Step 1: Write the proportion equation
   5,643 : 13,032 = 13,032 : x
2. Step 2: Convert to fraction form
   5,643/13,032 = 13,032/x
3. Step 3: Cross multiply
   5,643x = 13,032 × 13,032
4. Step 4: Simplify right side
   5,643x = 169,833,024
5. Step 5: Solve for x
   x = 169,833,024/5,643
6. Step 6: Final answer
   x = 30,096.23