Finding the Third Proportional to 4,787.50 and 7,152.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,787.50 : 7,152.38 = 7,152.38 : x
2. Step 2: Convert to fraction form
   4,787.50/7,152.38 = 7,152.38/x
3. Step 3: Cross multiply
   4,787.50x = 7,152.38 × 7,152.38
4. Step 4: Simplify right side
   4,787.50x = 51,156,468.14
5. Step 5: Solve for x
   x = 51,156,468.14/4,787.50
6. Step 6: Final answer
   x = 10,685.42