Finding the Third Proportional to 35,544.50 and 76,781

Step by Step Solution

1. Step 1: Write the proportion equation
   35,544.50 : 76,781 = 76,781 : x
2. Step 2: Convert to fraction form
   35,544.50/76,781 = 76,781/x
3. Step 3: Cross multiply
   35,544.50x = 76,781 × 76,781
4. Step 4: Simplify right side
   35,544.50x = 5,895,321,961
5. Step 5: Solve for x
   x = 5,895,321,961/35,544.50
6. Step 6: Final answer
   x = 165,857.50