Finding the Third Proportional to 13,776.75 and 20,683.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,776.75 : 20,683.69 = 20,683.69 : x
2. Step 2: Convert to fraction form
   13,776.75/20,683.69 = 20,683.69/x
3. Step 3: Cross multiply
   13,776.75x = 20,683.69 × 20,683.69
4. Step 4: Simplify right side
   13,776.75x = 427,814,928.60
5. Step 5: Solve for x
   x = 427,814,928.60/13,776.75
6. Step 6: Final answer
   x = 31,053.40