Finding the Third Proportional to 22,323 and 33,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,323 : 33,577.50 = 33,577.50 : x
2. Step 2: Convert to fraction form
   22,323/33,577.50 = 33,577.50/x
3. Step 3: Cross multiply
   22,323x = 33,577.50 × 33,577.50
4. Step 4: Simplify right side
   22,323x = 1,127,448,506.25
5. Step 5: Solve for x
   x = 1,127,448,506.25/22,323
6. Step 6: Final answer
   x = 50,506.14