Finding the Third Proportional to 10,138.22 and 21,677.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.22 : 21,677.63 = 21,677.63 : x
2. Step 2: Convert to fraction form
   10,138.22/21,677.63 = 21,677.63/x
3. Step 3: Cross multiply
   10,138.22x = 21,677.63 × 21,677.63
4. Step 4: Simplify right side
   10,138.22x = 469,919,425.64
5. Step 5: Solve for x
   x = 469,919,425.64/10,138.22
6. Step 6: Final answer
   x = 46,351.28