Finding the Third Proportional to 23,974 and 52,654

Step by Step Solution

1. Step 1: Write the proportion equation
   23,974 : 52,654 = 52,654 : x
2. Step 2: Convert to fraction form
   23,974/52,654 = 52,654/x
3. Step 3: Cross multiply
   23,974x = 52,654 × 52,654
4. Step 4: Simplify right side
   23,974x = 2,772,443,716
5. Step 5: Solve for x
   x = 2,772,443,716/23,974
6. Step 6: Final answer
   x = 115,643.77