Finding the Third Proportional to 9,140 and 21,118

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140 : 21,118 = 21,118 : x
2. Step 2: Convert to fraction form
   9,140/21,118 = 21,118/x
3. Step 3: Cross multiply
   9,140x = 21,118 × 21,118
4. Step 4: Simplify right side
   9,140x = 445,969,924
5. Step 5: Solve for x
   x = 445,969,924/9,140
6. Step 6: Final answer
   x = 48,793.21