Finding the Third Proportional to 38,605.69 and 83,362.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,605.69 : 83,362.13 = 83,362.13 : x
2. Step 2: Convert to fraction form
   38,605.69/83,362.13 = 83,362.13/x
3. Step 3: Cross multiply
   38,605.69x = 83,362.13 × 83,362.13
4. Step 4: Simplify right side
   38,605.69x = 6,949,243,884.52
5. Step 5: Solve for x
   x = 6,949,243,884.52/38,605.69
6. Step 6: Final answer
   x = 180,005.70