Finding the Third Proportional to 35,935.50 and 83,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,935.50 : 83,932.50 = 83,932.50 : x
2. Step 2: Convert to fraction form
   35,935.50/83,932.50 = 83,932.50/x
3. Step 3: Cross multiply
   35,935.50x = 83,932.50 × 83,932.50
4. Step 4: Simplify right side
   35,935.50x = 7,044,664,556.25
5. Step 5: Solve for x
   x = 7,044,664,556.25/35,935.50
6. Step 6: Final answer
   x = 196,036.36