Finding the Third Proportional to 27,429.75 and 36,770.63

Step by Step Solution

1. Step 1: Write the proportion equation
   27,429.75 : 36,770.63 = 36,770.63 : x
2. Step 2: Convert to fraction form
   27,429.75/36,770.63 = 36,770.63/x
3. Step 3: Cross multiply
   27,429.75x = 36,770.63 × 36,770.63
4. Step 4: Simplify right side
   27,429.75x = 1,352,078,862.89
5. Step 5: Solve for x
   x = 1,352,078,862.89/27,429.75
6. Step 6: Final answer
   x = 49,292.42