Finding the Third Proportional to 7,897.50 and 10,126.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,897.50 : 10,126.27 = 10,126.27 : x
2. Step 2: Convert to fraction form
   7,897.50/10,126.27 = 10,126.27/x
3. Step 3: Cross multiply
   7,897.50x = 10,126.27 × 10,126.27
4. Step 4: Simplify right side
   7,897.50x = 102,541,255.51
5. Step 5: Solve for x
   x = 102,541,255.51/7,897.50
6. Step 6: Final answer
   x = 12,984.01