Finding the Third Proportional to 2,362.50 and 4,962.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.50 : 4,962.94 = 4,962.94 : x
2. Step 2: Convert to fraction form
   2,362.50/4,962.94 = 4,962.94/x
3. Step 3: Cross multiply
   2,362.50x = 4,962.94 × 4,962.94
4. Step 4: Simplify right side
   2,362.50x = 24,630,748.63
5. Step 5: Solve for x
   x = 24,630,748.63/2,362.50
6. Step 6: Final answer
   x = 10,425.71