Finding the Third Proportional to 23,412 and 53,778

Step by Step Solution

1. Step 1: Write the proportion equation
   23,412 : 53,778 = 53,778 : x
2. Step 2: Convert to fraction form
   23,412/53,778 = 53,778/x
3. Step 3: Cross multiply
   23,412x = 53,778 × 53,778
4. Step 4: Simplify right side
   23,412x = 2,892,073,284
5. Step 5: Solve for x
   x = 2,892,073,284/23,412
6. Step 6: Final answer
   x = 123,529.53