Finding the Third Proportional to 10,355 and 14,590

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355 : 14,590 = 14,590 : x
2. Step 2: Convert to fraction form
   10,355/14,590 = 14,590/x
3. Step 3: Cross multiply
   10,355x = 14,590 × 14,590
4. Step 4: Simplify right side
   10,355x = 212,868,100
5. Step 5: Solve for x
   x = 212,868,100/10,355
6. Step 6: Final answer
   x = 20,557.04