Finding the Third Proportional to 38,816 and 83,830

Step by Step Solution

1. Step 1: Write the proportion equation
   38,816 : 83,830 = 83,830 : x
2. Step 2: Convert to fraction form
   38,816/83,830 = 83,830/x
3. Step 3: Cross multiply
   38,816x = 83,830 × 83,830
4. Step 4: Simplify right side
   38,816x = 7,027,468,900
5. Step 5: Solve for x
   x = 7,027,468,900/38,816
6. Step 6: Final answer
   x = 181,045.67