Finding the Third Proportional to 38,086 and 83,762

Step by Step Solution

1. Step 1: Write the proportion equation
   38,086 : 83,762 = 83,762 : x
2. Step 2: Convert to fraction form
   38,086/83,762 = 83,762/x
3. Step 3: Cross multiply
   38,086x = 83,762 × 83,762
4. Step 4: Simplify right side
   38,086x = 7,016,072,644
5. Step 5: Solve for x
   x = 7,016,072,644/38,086
6. Step 6: Final answer
   x = 184,216.58