Finding the Third Proportional to 33,284 and 72,106

Step by Step Solution

1. Step 1: Write the proportion equation
   33,284 : 72,106 = 72,106 : x
2. Step 2: Convert to fraction form
   33,284/72,106 = 72,106/x
3. Step 3: Cross multiply
   33,284x = 72,106 × 72,106
4. Step 4: Simplify right side
   33,284x = 5,199,275,236
5. Step 5: Solve for x
   x = 5,199,275,236/33,284
6. Step 6: Final answer
   x = 156,209.45