Finding the Third Proportional to 7,582 and 10,658

Step by Step Solution

1. Step 1: Write the proportion equation
   7,582 : 10,658 = 10,658 : x
2. Step 2: Convert to fraction form
   7,582/10,658 = 10,658/x
3. Step 3: Cross multiply
   7,582x = 10,658 × 10,658
4. Step 4: Simplify right side
   7,582x = 113,592,964
5. Step 5: Solve for x
   x = 113,592,964/7,582
6. Step 6: Final answer
   x = 14,981.93