Finding the Third Proportional to 20,080 and 30,658

Step by Step Solution

1. Step 1: Write the proportion equation
   20,080 : 30,658 = 30,658 : x
2. Step 2: Convert to fraction form
   20,080/30,658 = 30,658/x
3. Step 3: Cross multiply
   20,080x = 30,658 × 30,658
4. Step 4: Simplify right side
   20,080x = 939,912,964
5. Step 5: Solve for x
   x = 939,912,964/20,080
6. Step 6: Final answer
   x = 46,808.41