Finding the Third Proportional to 17,536 and 23,627

Step by Step Solution

1. Step 1: Write the proportion equation
   17,536 : 23,627 = 23,627 : x
2. Step 2: Convert to fraction form
   17,536/23,627 = 23,627/x
3. Step 3: Cross multiply
   17,536x = 23,627 × 23,627
4. Step 4: Simplify right side
   17,536x = 558,235,129
5. Step 5: Solve for x
   x = 558,235,129/17,536
6. Step 6: Final answer
   x = 31,833.66