Finding the Third Proportional to 2,302.50 and 4,972.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,302.50 : 4,972.88 = 4,972.88 : x
2. Step 2: Convert to fraction form
   2,302.50/4,972.88 = 4,972.88/x
3. Step 3: Cross multiply
   2,302.50x = 4,972.88 × 4,972.88
4. Step 4: Simplify right side
   2,302.50x = 24,729,485.77
5. Step 5: Solve for x
   x = 24,729,485.77/2,302.50
6. Step 6: Final answer
   x = 10,740.28