Finding the Third Proportional to 17,509 and 23,590

Step by Step Solution

1. Step 1: Write the proportion equation
   17,509 : 23,590 = 23,590 : x
2. Step 2: Convert to fraction form
   17,509/23,590 = 23,590/x
3. Step 3: Cross multiply
   17,509x = 23,590 × 23,590
4. Step 4: Simplify right side
   17,509x = 556,488,100
5. Step 5: Solve for x
   x = 556,488,100/17,509
6. Step 6: Final answer
   x = 31,782.97