Finding the Third Proportional to 42,427 and 83,783

Step by Step Solution

1. Step 1: Write the proportion equation
   42,427 : 83,783 = 83,783 : x
2. Step 2: Convert to fraction form
   42,427/83,783 = 83,783/x
3. Step 3: Cross multiply
   42,427x = 83,783 × 83,783
4. Step 4: Simplify right side
   42,427x = 7,019,591,089
5. Step 5: Solve for x
   x = 7,019,591,089/42,427
6. Step 6: Final answer
   x = 165,451.04