Finding the Third Proportional to 33,219 and 72,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,219 : 72,256.50 = 72,256.50 : x
2. Step 2: Convert to fraction form
   33,219/72,256.50 = 72,256.50/x
3. Step 3: Cross multiply
   33,219x = 72,256.50 × 72,256.50
4. Step 4: Simplify right side
   33,219x = 5,221,001,792.25
5. Step 5: Solve for x
   x = 5,221,001,792.25/33,219
6. Step 6: Final answer
   x = 157,169.14