Finding the Third Proportional to 38,530.69 and 83,622.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,530.69 : 83,622.38 = 83,622.38 : x
2. Step 2: Convert to fraction form
   38,530.69/83,622.38 = 83,622.38/x
3. Step 3: Cross multiply
   38,530.69x = 83,622.38 × 83,622.38
4. Step 4: Simplify right side
   38,530.69x = 6,992,701,600.64
5. Step 5: Solve for x
   x = 6,992,701,600.64/38,530.69
6. Step 6: Final answer
   x = 181,483.96