Finding the Third Proportional to 14,628 and 22,590

Step by Step Solution

1. Step 1: Write the proportion equation
   14,628 : 22,590 = 22,590 : x
2. Step 2: Convert to fraction form
   14,628/22,590 = 22,590/x
3. Step 3: Cross multiply
   14,628x = 22,590 × 22,590
4. Step 4: Simplify right side
   14,628x = 510,308,100
5. Step 5: Solve for x
   x = 510,308,100/14,628
6. Step 6: Final answer
   x = 34,885.71