Finding the Third Proportional to 9,130 and 19,766

Step by Step Solution

1. Step 1: Write the proportion equation
   9,130 : 19,766 = 19,766 : x
2. Step 2: Convert to fraction form
   9,130/19,766 = 19,766/x
3. Step 3: Cross multiply
   9,130x = 19,766 × 19,766
4. Step 4: Simplify right side
   9,130x = 390,694,756
5. Step 5: Solve for x
   x = 390,694,756/9,130
6. Step 6: Final answer
   x = 42,792.42