Finding the Third Proportional to 35,815.50 and 53,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,815.50 : 53,770.50 = 53,770.50 : x
2. Step 2: Convert to fraction form
   35,815.50/53,770.50 = 53,770.50/x
3. Step 3: Cross multiply
   35,815.50x = 53,770.50 × 53,770.50
4. Step 4: Simplify right side
   35,815.50x = 2,891,266,670.25
5. Step 5: Solve for x
   x = 2,891,266,670.25/35,815.50
6. Step 6: Final answer
   x = 80,726.69