Finding the Third Proportional to 42,426 and 83,781

Step by Step Solution

1. Step 1: Write the proportion equation
   42,426 : 83,781 = 83,781 : x
2. Step 2: Convert to fraction form
   42,426/83,781 = 83,781/x
3. Step 3: Cross multiply
   42,426x = 83,781 × 83,781
4. Step 4: Simplify right side
   42,426x = 7,019,255,961
5. Step 5: Solve for x
   x = 7,019,255,961/42,426
6. Step 6: Final answer
   x = 165,447.04