Finding the Third Proportional to 35,661.50 and 53,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,661.50 : 53,634.50 = 53,634.50 : x
2. Step 2: Convert to fraction form
   35,661.50/53,634.50 = 53,634.50/x
3. Step 3: Cross multiply
   35,661.50x = 53,634.50 × 53,634.50
4. Step 4: Simplify right side
   35,661.50x = 2,876,659,590.25
5. Step 5: Solve for x
   x = 2,876,659,590.25/35,661.50
6. Step 6: Final answer
   x = 80,665.69