Finding the Third Proportional to 9,532 and 12,658

Step by Step Solution

1. Step 1: Write the proportion equation
   9,532 : 12,658 = 12,658 : x
2. Step 2: Convert to fraction form
   9,532/12,658 = 12,658/x
3. Step 3: Cross multiply
   9,532x = 12,658 × 12,658
4. Step 4: Simplify right side
   9,532x = 160,224,964
5. Step 5: Solve for x
   x = 160,224,964/9,532
6. Step 6: Final answer
   x = 16,809.17