Finding the Third Proportional to 2,272.88 and 4,967.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,272.88 : 4,967.63 = 4,967.63 : x
2. Step 2: Convert to fraction form
   2,272.88/4,967.63 = 4,967.63/x
3. Step 3: Cross multiply
   2,272.88x = 4,967.63 × 4,967.63
4. Step 4: Simplify right side
   2,272.88x = 24,677,298.14
5. Step 5: Solve for x
   x = 24,677,298.14/2,272.88
6. Step 6: Final answer
   x = 10,857.31