Finding the Third Proportional to 22,623 and 33,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,623 : 33,259.50 = 33,259.50 : x
2. Step 2: Convert to fraction form
   22,623/33,259.50 = 33,259.50/x
3. Step 3: Cross multiply
   22,623x = 33,259.50 × 33,259.50
4. Step 4: Simplify right side
   22,623x = 1,106,194,340.25
5. Step 5: Solve for x
   x = 1,106,194,340.25/22,623
6. Step 6: Final answer
   x = 48,896.89