Finding the Third Proportional to 32,705 and 50,632

Step by Step Solution

1. Step 1: Write the proportion equation
   32,705 : 50,632 = 50,632 : x
2. Step 2: Convert to fraction form
   32,705/50,632 = 50,632/x
3. Step 3: Cross multiply
   32,705x = 50,632 × 50,632
4. Step 4: Simplify right side
   32,705x = 2,563,599,424
5. Step 5: Solve for x
   x = 2,563,599,424/32,705
6. Step 6: Final answer
   x = 78,385.55