Finding the Third Proportional to 17,586 and 24,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,586 : 24,421.50 = 24,421.50 : x
2. Step 2: Convert to fraction form
   17,586/24,421.50 = 24,421.50/x
3. Step 3: Cross multiply
   17,586x = 24,421.50 × 24,421.50
4. Step 4: Simplify right side
   17,586x = 596,409,662.25
5. Step 5: Solve for x
   x = 596,409,662.25/17,586
6. Step 6: Final answer
   x = 33,913.89