Finding the Third Proportional to 10,738 and 19,964

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738 : 19,964 = 19,964 : x
2. Step 2: Convert to fraction form
   10,738/19,964 = 19,964/x
3. Step 3: Cross multiply
   10,738x = 19,964 × 19,964
4. Step 4: Simplify right side
   10,738x = 398,561,296
5. Step 5: Solve for x
   x = 398,561,296/10,738
6. Step 6: Final answer
   x = 37,116.90