Finding the Third Proportional to 9,752 and 13,900

Step by Step Solution

1. Step 1: Write the proportion equation
   9,752 : 13,900 = 13,900 : x
2. Step 2: Convert to fraction form
   9,752/13,900 = 13,900/x
3. Step 3: Cross multiply
   9,752x = 13,900 × 13,900
4. Step 4: Simplify right side
   9,752x = 193,210,000
5. Step 5: Solve for x
   x = 193,210,000/9,752
6. Step 6: Final answer
   x = 19,812.35