Finding the Third Proportional to 33,324 and 72,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,324 : 72,664.50 = 72,664.50 : x
2. Step 2: Convert to fraction form
   33,324/72,664.50 = 72,664.50/x
3. Step 3: Cross multiply
   33,324x = 72,664.50 × 72,664.50
4. Step 4: Simplify right side
   33,324x = 5,280,129,560.25
5. Step 5: Solve for x
   x = 5,280,129,560.25/33,324
6. Step 6: Final answer
   x = 158,448.25