Finding the Third Proportional to 35,923.50 and 76,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,923.50 : 76,732.50 = 76,732.50 : x
2. Step 2: Convert to fraction form
   35,923.50/76,732.50 = 76,732.50/x
3. Step 3: Cross multiply
   35,923.50x = 76,732.50 × 76,732.50
4. Step 4: Simplify right side
   35,923.50x = 5,887,876,556.25
5. Step 5: Solve for x
   x = 5,887,876,556.25/35,923.50
6. Step 6: Final answer
   x = 163,900.41