Finding the Third Proportional to 38,196.50 and 84,007

Step by Step Solution

1. Step 1: Write the proportion equation
   38,196.50 : 84,007 = 84,007 : x
2. Step 2: Convert to fraction form
   38,196.50/84,007 = 84,007/x
3. Step 3: Cross multiply
   38,196.50x = 84,007 × 84,007
4. Step 4: Simplify right side
   38,196.50x = 7,057,176,049
5. Step 5: Solve for x
   x = 7,057,176,049/38,196.50
6. Step 6: Final answer
   x = 184,759.76