Finding the Third Proportional to 17,536 and 23,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,536 : 23,626.50 = 23,626.50 : x
2. Step 2: Convert to fraction form
   17,536/23,626.50 = 23,626.50/x
3. Step 3: Cross multiply
   17,536x = 23,626.50 × 23,626.50
4. Step 4: Simplify right side
   17,536x = 558,211,502.25
5. Step 5: Solve for x
   x = 558,211,502.25/17,536
6. Step 6: Final answer
   x = 31,832.32