Finding the Third Proportional to 32,645 and 51,884

Step by Step Solution

1. Step 1: Write the proportion equation
   32,645 : 51,884 = 51,884 : x
2. Step 2: Convert to fraction form
   32,645/51,884 = 51,884/x
3. Step 3: Cross multiply
   32,645x = 51,884 × 51,884
4. Step 4: Simplify right side
   32,645x = 2,691,949,456
5. Step 5: Solve for x
   x = 2,691,949,456/32,645
6. Step 6: Final answer
   x = 82,461.31