Finding the Third Proportional to 35,970.75 and 84,017.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,970.75 : 84,017.25 = 84,017.25 : x
2. Step 2: Convert to fraction form
   35,970.75/84,017.25 = 84,017.25/x
3. Step 3: Cross multiply
   35,970.75x = 84,017.25 × 84,017.25
4. Step 4: Simplify right side
   35,970.75x = 7,058,898,297.56
5. Step 5: Solve for x
   x = 7,058,898,297.56/35,970.75
6. Step 6: Final answer
   x = 196,239.95