Finding the Third Proportional to 10,583 and 25,074

Step by Step Solution

1. Step 1: Write the proportion equation
   10,583 : 25,074 = 25,074 : x
2. Step 2: Convert to fraction form
   10,583/25,074 = 25,074/x
3. Step 3: Cross multiply
   10,583x = 25,074 × 25,074
4. Step 4: Simplify right side
   10,583x = 628,705,476
5. Step 5: Solve for x
   x = 628,705,476/10,583
6. Step 6: Final answer
   x = 59,407.11