Finding the Third Proportional to 4,923.38 and 7,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,923.38 : 7,567.50 = 7,567.50 : x
2. Step 2: Convert to fraction form
   4,923.38/7,567.50 = 7,567.50/x
3. Step 3: Cross multiply
   4,923.38x = 7,567.50 × 7,567.50
4. Step 4: Simplify right side
   4,923.38x = 57,267,056.25
5. Step 5: Solve for x
   x = 57,267,056.25/4,923.38
6. Step 6: Final answer
   x = 11,631.67