Finding the Third Proportional to 25,974 and 34,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,974 : 34,664.50 = 34,664.50 : x
2. Step 2: Convert to fraction form
   25,974/34,664.50 = 34,664.50/x
3. Step 3: Cross multiply
   25,974x = 34,664.50 × 34,664.50
4. Step 4: Simplify right side
   25,974x = 1,201,627,560.25
5. Step 5: Solve for x
   x = 1,201,627,560.25/25,974
6. Step 6: Final answer
   x = 46,262.71