Finding the Third Proportional to 7,560.84 and 10,265.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,560.84 : 10,265.06 = 10,265.06 : x
2. Step 2: Convert to fraction form
   7,560.84/10,265.06 = 10,265.06/x
3. Step 3: Cross multiply
   7,560.84x = 10,265.06 × 10,265.06
4. Step 4: Simplify right side
   7,560.84x = 105,371,508.13
5. Step 5: Solve for x
   x = 105,371,508.13/7,560.84
6. Step 6: Final answer
   x = 13,936.47