Finding the Third Proportional to 10,738.88 and 22,214.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.88 : 22,214.63 = 22,214.63 : x
2. Step 2: Convert to fraction form
   10,738.88/22,214.63 = 22,214.63/x
3. Step 3: Cross multiply
   10,738.88x = 22,214.63 × 22,214.63
4. Step 4: Simplify right side
   10,738.88x = 493,489,563.89
5. Step 5: Solve for x
   x = 493,489,563.89/10,738.88
6. Step 6: Final answer
   x = 45,953.56