Finding the Third Proportional to 23,654 and 51,772

Step by Step Solution

1. Step 1: Write the proportion equation
   23,654 : 51,772 = 51,772 : x
2. Step 2: Convert to fraction form
   23,654/51,772 = 51,772/x
3. Step 3: Cross multiply
   23,654x = 51,772 × 51,772
4. Step 4: Simplify right side
   23,654x = 2,680,339,984
5. Step 5: Solve for x
   x = 2,680,339,984/23,654
6. Step 6: Final answer
   x = 113,314.45