Finding the Third Proportional to 9,160 and 13,838

Step by Step Solution

1. Step 1: Write the proportion equation
   9,160 : 13,838 = 13,838 : x
2. Step 2: Convert to fraction form
   9,160/13,838 = 13,838/x
3. Step 3: Cross multiply
   9,160x = 13,838 × 13,838
4. Step 4: Simplify right side
   9,160x = 191,490,244
5. Step 5: Solve for x
   x = 191,490,244/9,160
6. Step 6: Final answer
   x = 20,905.05