Finding the Third Proportional to 16,596 and 35,658

Step by Step Solution

1. Step 1: Write the proportion equation
   16,596 : 35,658 = 35,658 : x
2. Step 2: Convert to fraction form
   16,596/35,658 = 35,658/x
3. Step 3: Cross multiply
   16,596x = 35,658 × 35,658
4. Step 4: Simplify right side
   16,596x = 1,271,492,964
5. Step 5: Solve for x
   x = 1,271,492,964/16,596
6. Step 6: Final answer
   x = 76,614.42