Finding the Third Proportional to 10,582 and 25,070

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582 : 25,070 = 25,070 : x
2. Step 2: Convert to fraction form
   10,582/25,070 = 25,070/x
3. Step 3: Cross multiply
   10,582x = 25,070 × 25,070
4. Step 4: Simplify right side
   10,582x = 628,504,900
5. Step 5: Solve for x
   x = 628,504,900/10,582
6. Step 6: Final answer
   x = 59,393.77