Finding the Third Proportional to 9,784.50 and 14,862

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.50 : 14,862 = 14,862 : x
2. Step 2: Convert to fraction form
   9,784.50/14,862 = 14,862/x
3. Step 3: Cross multiply
   9,784.50x = 14,862 × 14,862
4. Step 4: Simplify right side
   9,784.50x = 220,879,044
5. Step 5: Solve for x
   x = 220,879,044/9,784.50
6. Step 6: Final answer
   x = 22,574.38