Finding the Third Proportional to 9,102 and 13,895

Step by Step Solution

1. Step 1: Write the proportion equation
   9,102 : 13,895 = 13,895 : x
2. Step 2: Convert to fraction form
   9,102/13,895 = 13,895/x
3. Step 3: Cross multiply
   9,102x = 13,895 × 13,895
4. Step 4: Simplify right side
   9,102x = 193,071,025
5. Step 5: Solve for x
   x = 193,071,025/9,102
6. Step 6: Final answer
   x = 21,211.93