Finding the Third Proportional to 12,201 and 24,978

Step by Step Solution

1. Step 1: Write the proportion equation
   12,201 : 24,978 = 24,978 : x
2. Step 2: Convert to fraction form
   12,201/24,978 = 24,978/x
3. Step 3: Cross multiply
   12,201x = 24,978 × 24,978
4. Step 4: Simplify right side
   12,201x = 623,900,484
5. Step 5: Solve for x
   x = 623,900,484/12,201
6. Step 6: Final answer
   x = 51,135.19