Finding the Third Proportional to 38,333.25 and 81,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,333.25 : 81,222.75 = 81,222.75 : x
2. Step 2: Convert to fraction form
   38,333.25/81,222.75 = 81,222.75/x
3. Step 3: Cross multiply
   38,333.25x = 81,222.75 × 81,222.75
4. Step 4: Simplify right side
   38,333.25x = 6,597,135,117.56
5. Step 5: Solve for x
   x = 6,597,135,117.56/38,333.25
6. Step 6: Final answer
   x = 172,099.55