Finding the Third Proportional to 35,972 and 84,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,972 : 84,018.50 = 84,018.50 : x
2. Step 2: Convert to fraction form
   35,972/84,018.50 = 84,018.50/x
3. Step 3: Cross multiply
   35,972x = 84,018.50 × 84,018.50
4. Step 4: Simplify right side
   35,972x = 7,059,108,342.25
5. Step 5: Solve for x
   x = 7,059,108,342.25/35,972
6. Step 6: Final answer
   x = 196,238.97