Finding the Third Proportional to 38,196.38 and 84,006.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,196.38 : 84,006.75 = 84,006.75 : x
2. Step 2: Convert to fraction form
   38,196.38/84,006.75 = 84,006.75/x
3. Step 3: Cross multiply
   38,196.38x = 84,006.75 × 84,006.75
4. Step 4: Simplify right side
   38,196.38x = 7,057,134,045.56
5. Step 5: Solve for x
   x = 7,057,134,045.56/38,196.38
6. Step 6: Final answer
   x = 184,759.26