Finding the Third Proportional to 57,470 and 84,016

Step by Step Solution

1. Step 1: Write the proportion equation
   57,470 : 84,016 = 84,016 : x
2. Step 2: Convert to fraction form
   57,470/84,016 = 84,016/x
3. Step 3: Cross multiply
   57,470x = 84,016 × 84,016
4. Step 4: Simplify right side
   57,470x = 7,058,688,256
5. Step 5: Solve for x
   x = 7,058,688,256/57,470
6. Step 6: Final answer
   x = 122,823.88