Finding the Third Proportional to 2,309 and 4,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,309 : 4,897.50 = 4,897.50 : x
2. Step 2: Convert to fraction form
   2,309/4,897.50 = 4,897.50/x
3. Step 3: Cross multiply
   2,309x = 4,897.50 × 4,897.50
4. Step 4: Simplify right side
   2,309x = 23,985,506.25
5. Step 5: Solve for x
   x = 23,985,506.25/2,309
6. Step 6: Final answer
   x = 10,387.83