Finding the Third Proportional to 35,969.63 and 84,013.31

Step by Step Solution

1. Step 1: Write the proportion equation
   35,969.63 : 84,013.31 = 84,013.31 : x
2. Step 2: Convert to fraction form
   35,969.63/84,013.31 = 84,013.31/x
3. Step 3: Cross multiply
   35,969.63x = 84,013.31 × 84,013.31
4. Step 4: Simplify right side
   35,969.63x = 7,058,236,677.22
5. Step 5: Solve for x
   x = 7,058,236,677.22/35,969.63
6. Step 6: Final answer
   x = 196,227.70