Finding the Third Proportional to 7,784 and 18,140

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784 : 18,140 = 18,140 : x
2. Step 2: Convert to fraction form
   7,784/18,140 = 18,140/x
3. Step 3: Cross multiply
   7,784x = 18,140 × 18,140
4. Step 4: Simplify right side
   7,784x = 329,059,600
5. Step 5: Solve for x
   x = 329,059,600/7,784
6. Step 6: Final answer
   x = 42,273.84