Finding the Third Proportional to 35,633.50 and 77,339

Step by Step Solution

1. Step 1: Write the proportion equation
   35,633.50 : 77,339 = 77,339 : x
2. Step 2: Convert to fraction form
   35,633.50/77,339 = 77,339/x
3. Step 3: Cross multiply
   35,633.50x = 77,339 × 77,339
4. Step 4: Simplify right side
   35,633.50x = 5,981,320,921
5. Step 5: Solve for x
   x = 5,981,320,921/35,633.50
6. Step 6: Final answer
   x = 167,856.68