Finding the Third Proportional to 16,516 and 23,536

Step by Step Solution

1. Step 1: Write the proportion equation
   16,516 : 23,536 = 23,536 : x
2. Step 2: Convert to fraction form
   16,516/23,536 = 23,536/x
3. Step 3: Cross multiply
   16,516x = 23,536 × 23,536
4. Step 4: Simplify right side
   16,516x = 553,943,296
5. Step 5: Solve for x
   x = 553,943,296/16,516
6. Step 6: Final answer
   x = 33,539.80