Finding the Third Proportional to 16,536 and 23,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 23,698.50 = 23,698.50 : x
2. Step 2: Convert to fraction form
   16,536/23,698.50 = 23,698.50/x
3. Step 3: Cross multiply
   16,536x = 23,698.50 × 23,698.50
4. Step 4: Simplify right side
   16,536x = 561,618,902.25
5. Step 5: Solve for x
   x = 561,618,902.25/16,536
6. Step 6: Final answer
   x = 33,963.41