Finding the Third Proportional to 7,463 and 10,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,463 : 10,460.50 = 10,460.50 : x
2. Step 2: Convert to fraction form
   7,463/10,460.50 = 10,460.50/x
3. Step 3: Cross multiply
   7,463x = 10,460.50 × 10,460.50
4. Step 4: Simplify right side
   7,463x = 109,422,060.25
5. Step 5: Solve for x
   x = 109,422,060.25/7,463
6. Step 6: Final answer
   x = 14,661.94