Finding the Third Proportional to 10,116 and 13,776.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116 : 13,776.75 = 13,776.75 : x
2. Step 2: Convert to fraction form
   10,116/13,776.75 = 13,776.75/x
3. Step 3: Cross multiply
   10,116x = 13,776.75 × 13,776.75
4. Step 4: Simplify right side
   10,116x = 189,798,840.56
5. Step 5: Solve for x
   x = 189,798,840.56/10,116
6. Step 6: Final answer
   x = 18,762.24