Finding the Third Proportional to 10,838.81 and 16,820.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.81 : 16,820.16 = 16,820.16 : x
2. Step 2: Convert to fraction form
   10,838.81/16,820.16 = 16,820.16/x
3. Step 3: Cross multiply
   10,838.81x = 16,820.16 × 16,820.16
4. Step 4: Simplify right side
   10,838.81x = 282,917,656.27
5. Step 5: Solve for x
   x = 282,917,656.27/10,838.81
6. Step 6: Final answer
   x = 26,102.27