Finding the Third Proportional to 9,970 and 20,586

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970 : 20,586 = 20,586 : x
2. Step 2: Convert to fraction form
   9,970/20,586 = 20,586/x
3. Step 3: Cross multiply
   9,970x = 20,586 × 20,586
4. Step 4: Simplify right side
   9,970x = 423,783,396
5. Step 5: Solve for x
   x = 423,783,396/9,970
6. Step 6: Final answer
   x = 42,505.86