Finding the Third Proportional to 22,545 and 33,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,545 : 33,688.50 = 33,688.50 : x
2. Step 2: Convert to fraction form
   22,545/33,688.50 = 33,688.50/x
3. Step 3: Cross multiply
   22,545x = 33,688.50 × 33,688.50
4. Step 4: Simplify right side
   22,545x = 1,134,915,032.25
5. Step 5: Solve for x
   x = 1,134,915,032.25/22,545
6. Step 6: Final answer
   x = 50,339.99