Finding the Third Proportional to 10,137.66 and 23,677.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,137.66 : 23,677.31 = 23,677.31 : x
2. Step 2: Convert to fraction form
   10,137.66/23,677.31 = 23,677.31/x
3. Step 3: Cross multiply
   10,137.66x = 23,677.31 × 23,677.31
4. Step 4: Simplify right side
   10,137.66x = 560,615,127.22
5. Step 5: Solve for x
   x = 560,615,127.22/10,137.66
6. Step 6: Final answer
   x = 55,300.27