Finding the Third Proportional to 36,288 and 76,980.38

Step by Step Solution

1. Step 1: Write the proportion equation
   36,288 : 76,980.38 = 76,980.38 : x
2. Step 2: Convert to fraction form
   36,288/76,980.38 = 76,980.38/x
3. Step 3: Cross multiply
   36,288x = 76,980.38 × 76,980.38
4. Step 4: Simplify right side
   36,288x = 5,925,978,135.14
5. Step 5: Solve for x
   x = 5,925,978,135.14/36,288
6. Step 6: Final answer
   x = 163,304.07