Finding the Third Proportional to 10,116.77 and 23,629.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.77 : 23,629.85 = 23,629.85 : x
2. Step 2: Convert to fraction form
   10,116.77/23,629.85 = 23,629.85/x
3. Step 3: Cross multiply
   10,116.77x = 23,629.85 × 23,629.85
4. Step 4: Simplify right side
   10,116.77x = 558,369,884.87
5. Step 5: Solve for x
   x = 558,369,884.87/10,116.77
6. Step 6: Final answer
   x = 55,192.49