Finding the Third Proportional to 19,706 and 41,632

Step by Step Solution

1. Step 1: Write the proportion equation
   19,706 : 41,632 = 41,632 : x
2. Step 2: Convert to fraction form
   19,706/41,632 = 41,632/x
3. Step 3: Cross multiply
   19,706x = 41,632 × 41,632
4. Step 4: Simplify right side
   19,706x = 1,733,223,424
5. Step 5: Solve for x
   x = 1,733,223,424/19,706
6. Step 6: Final answer
   x = 87,954.10