Finding the Third Proportional to 5,113 and 10,964

Step by Step Solution

1. Step 1: Write the proportion equation
   5,113 : 10,964 = 10,964 : x
2. Step 2: Convert to fraction form
   5,113/10,964 = 10,964/x
3. Step 3: Cross multiply
   5,113x = 10,964 × 10,964
4. Step 4: Simplify right side
   5,113x = 120,209,296
5. Step 5: Solve for x
   x = 120,209,296/5,113
6. Step 6: Final answer
   x = 23,510.52