Finding the Third Proportional to 5,153.63 and 12,808.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,153.63 : 12,808.13 = 12,808.13 : x
2. Step 2: Convert to fraction form
   5,153.63/12,808.13 = 12,808.13/x
3. Step 3: Cross multiply
   5,153.63x = 12,808.13 × 12,808.13
4. Step 4: Simplify right side
   5,153.63x = 164,048,066.02
5. Step 5: Solve for x
   x = 164,048,066.02/5,153.63
6. Step 6: Final answer
   x = 31,831.59