Finding the Third Proportional to 7,646.63 and 10,290.94

Step by Step Solution

1. Step 1: Write the proportion equation
   7,646.63 : 10,290.94 = 10,290.94 : x
2. Step 2: Convert to fraction form
   7,646.63/10,290.94 = 10,290.94/x
3. Step 3: Cross multiply
   7,646.63x = 10,290.94 × 10,290.94
4. Step 4: Simplify right side
   7,646.63x = 105,903,394.63
5. Step 5: Solve for x
   x = 105,903,394.63/7,646.63
6. Step 6: Final answer
   x = 13,849.69