Finding the Third Proportional to 24,223.50 and 37,770.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,223.50 : 37,770.75 = 37,770.75 : x
2. Step 2: Convert to fraction form
   24,223.50/37,770.75 = 37,770.75/x
3. Step 3: Cross multiply
   24,223.50x = 37,770.75 × 37,770.75
4. Step 4: Simplify right side
   24,223.50x = 1,426,629,555.56
5. Step 5: Solve for x
   x = 1,426,629,555.56/24,223.50
6. Step 6: Final answer
   x = 58,894.44