Finding the Third Proportional to 7,526.25 and 10,256.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,526.25 : 10,256.63 = 10,256.63 : x
2. Step 2: Convert to fraction form
   7,526.25/10,256.63 = 10,256.63/x
3. Step 3: Cross multiply
   7,526.25x = 10,256.63 × 10,256.63
4. Step 4: Simplify right side
   7,526.25x = 105,198,356.39
5. Step 5: Solve for x
   x = 105,198,356.39/7,526.25
6. Step 6: Final answer
   x = 13,977.53