Finding the Third Proportional to 33,266 and 72,784

Step by Step Solution

1. Step 1: Write the proportion equation
   33,266 : 72,784 = 72,784 : x
2. Step 2: Convert to fraction form
   33,266/72,784 = 72,784/x
3. Step 3: Cross multiply
   33,266x = 72,784 × 72,784
4. Step 4: Simplify right side
   33,266x = 5,297,510,656
5. Step 5: Solve for x
   x = 5,297,510,656/33,266
6. Step 6: Final answer
   x = 159,247.00