Finding the Third Proportional to 22,769 and 32,586

Step by Step Solution

1. Step 1: Write the proportion equation
   22,769 : 32,586 = 32,586 : x
2. Step 2: Convert to fraction form
   22,769/32,586 = 32,586/x
3. Step 3: Cross multiply
   22,769x = 32,586 × 32,586
4. Step 4: Simplify right side
   22,769x = 1,061,847,396
5. Step 5: Solve for x
   x = 1,061,847,396/22,769
6. Step 6: Final answer
   x = 46,635.66