Finding the Third Proportional to 33,822 and 72,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,822 : 72,337.50 = 72,337.50 : x
2. Step 2: Convert to fraction form
   33,822/72,337.50 = 72,337.50/x
3. Step 3: Cross multiply
   33,822x = 72,337.50 × 72,337.50
4. Step 4: Simplify right side
   33,822x = 5,232,713,906.25
5. Step 5: Solve for x
   x = 5,232,713,906.25/33,822
6. Step 6: Final answer
   x = 154,713.32