Finding the Third Proportional to 38,212.78 and 83,799.09

Step by Step Solution

1. Step 1: Write the proportion equation
   38,212.78 : 83,799.09 = 83,799.09 : x
2. Step 2: Convert to fraction form
   38,212.78/83,799.09 = 83,799.09/x
3. Step 3: Cross multiply
   38,212.78x = 83,799.09 × 83,799.09
4. Step 4: Simplify right side
   38,212.78x = 7,022,288,113.32
5. Step 5: Solve for x
   x = 7,022,288,113.32/38,212.78
6. Step 6: Final answer
   x = 183,768.05