Finding the Third Proportional to 7,465.50 and 10,463.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,465.50 : 10,463.63 = 10,463.63 : x
2. Step 2: Convert to fraction form
   7,465.50/10,463.63 = 10,463.63/x
3. Step 3: Cross multiply
   7,465.50x = 10,463.63 × 10,463.63
4. Step 4: Simplify right side
   7,465.50x = 109,487,448.14
5. Step 5: Solve for x
   x = 109,487,448.14/7,465.50
6. Step 6: Final answer
   x = 14,665.79