Finding the Third Proportional to 13,590 and 21,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,590 : 21,253.50 = 21,253.50 : x
2. Step 2: Convert to fraction form
   13,590/21,253.50 = 21,253.50/x
3. Step 3: Cross multiply
   13,590x = 21,253.50 × 21,253.50
4. Step 4: Simplify right side
   13,590x = 451,711,262.25
5. Step 5: Solve for x
   x = 451,711,262.25/13,590
6. Step 6: Final answer
   x = 33,238.50