Finding the Third Proportional to 10,116 and 21,765.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116 : 21,765.38 = 21,765.38 : x
2. Step 2: Convert to fraction form
   10,116/21,765.38 = 21,765.38/x
3. Step 3: Cross multiply
   10,116x = 21,765.38 × 21,765.38
4. Step 4: Simplify right side
   10,116x = 473,731,548.89
5. Step 5: Solve for x
   x = 473,731,548.89/10,116
6. Step 6: Final answer
   x = 46,829.93