Finding the Third Proportional to 24,547.50 and 36,942.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,547.50 : 36,942.75 = 36,942.75 : x
2. Step 2: Convert to fraction form
   24,547.50/36,942.75 = 36,942.75/x
3. Step 3: Cross multiply
   24,547.50x = 36,942.75 × 36,942.75
4. Step 4: Simplify right side
   24,547.50x = 1,364,766,777.56
5. Step 5: Solve for x
   x = 1,364,766,777.56/24,547.50
6. Step 6: Final answer
   x = 55,596.98