Finding the Third Proportional to 4,796.50 and 10,465

Step by Step Solution

1. Step 1: Write the proportion equation
   4,796.50 : 10,465 = 10,465 : x
2. Step 2: Convert to fraction form
   4,796.50/10,465 = 10,465/x
3. Step 3: Cross multiply
   4,796.50x = 10,465 × 10,465
4. Step 4: Simplify right side
   4,796.50x = 109,516,225
5. Step 5: Solve for x
   x = 109,516,225/4,796.50
6. Step 6: Final answer
   x = 22,832.53