Finding the Third Proportional to 7,822 and 12,118

Step by Step Solution

1. Step 1: Write the proportion equation
   7,822 : 12,118 = 12,118 : x
2. Step 2: Convert to fraction form
   7,822/12,118 = 12,118/x
3. Step 3: Cross multiply
   7,822x = 12,118 × 12,118
4. Step 4: Simplify right side
   7,822x = 146,845,924
5. Step 5: Solve for x
   x = 146,845,924/7,822
6. Step 6: Final answer
   x = 18,773.45