Finding the Third Proportional to 32,010 and 50,646

Step by Step Solution

1. Step 1: Write the proportion equation
   32,010 : 50,646 = 50,646 : x
2. Step 2: Convert to fraction form
   32,010/50,646 = 50,646/x
3. Step 3: Cross multiply
   32,010x = 50,646 × 50,646
4. Step 4: Simplify right side
   32,010x = 2,565,017,316
5. Step 5: Solve for x
   x = 2,565,017,316/32,010
6. Step 6: Final answer
   x = 80,131.75