Finding the Third Proportional to 19,820 and 32,645

Step by Step Solution

1. Step 1: Write the proportion equation
   19,820 : 32,645 = 32,645 : x
2. Step 2: Convert to fraction form
   19,820/32,645 = 32,645/x
3. Step 3: Cross multiply
   19,820x = 32,645 × 32,645
4. Step 4: Simplify right side
   19,820x = 1,065,696,025
5. Step 5: Solve for x
   x = 1,065,696,025/19,820
6. Step 6: Final answer
   x = 53,768.72