Finding the Third Proportional to 33,102 and 72,154

Step by Step Solution

1. Step 1: Write the proportion equation
   33,102 : 72,154 = 72,154 : x
2. Step 2: Convert to fraction form
   33,102/72,154 = 72,154/x
3. Step 3: Cross multiply
   33,102x = 72,154 × 72,154
4. Step 4: Simplify right side
   33,102x = 5,206,199,716
5. Step 5: Solve for x
   x = 5,206,199,716/33,102
6. Step 6: Final answer
   x = 157,277.50