Finding the Third Proportional to 16,100 and 22,590

Step by Step Solution

1. Step 1: Write the proportion equation
   16,100 : 22,590 = 22,590 : x
2. Step 2: Convert to fraction form
   16,100/22,590 = 22,590/x
3. Step 3: Cross multiply
   16,100x = 22,590 × 22,590
4. Step 4: Simplify right side
   16,100x = 510,308,100
5. Step 5: Solve for x
   x = 510,308,100/16,100
6. Step 6: Final answer
   x = 31,696.16