Finding the Third Proportional to 37,101.50 and 82,206

Step by Step Solution

1. Step 1: Write the proportion equation
   37,101.50 : 82,206 = 82,206 : x
2. Step 2: Convert to fraction form
   37,101.50/82,206 = 82,206/x
3. Step 3: Cross multiply
   37,101.50x = 82,206 × 82,206
4. Step 4: Simplify right side
   37,101.50x = 6,757,826,436
5. Step 5: Solve for x
   x = 6,757,826,436/37,101.50
6. Step 6: Final answer
   x = 182,144.29