Finding the Third Proportional to 10,802.63 and 16,422.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.63 : 16,422.31 = 16,422.31 : x
2. Step 2: Convert to fraction form
   10,802.63/16,422.31 = 16,422.31/x
3. Step 3: Cross multiply
   10,802.63x = 16,422.31 × 16,422.31
4. Step 4: Simplify right side
   10,802.63x = 269,692,347.85
5. Step 5: Solve for x
   x = 269,692,347.85/10,802.63
6. Step 6: Final answer
   x = 24,965.45