Finding the Third Proportional to 17,730 and 23,658

Step by Step Solution

1. Step 1: Write the proportion equation
   17,730 : 23,658 = 23,658 : x
2. Step 2: Convert to fraction form
   17,730/23,658 = 23,658/x
3. Step 3: Cross multiply
   17,730x = 23,658 × 23,658
4. Step 4: Simplify right side
   17,730x = 559,700,964
5. Step 5: Solve for x
   x = 559,700,964/17,730
6. Step 6: Final answer
   x = 31,568.02