Finding the Third Proportional to 20,010 and 32,152

Step by Step Solution

1. Step 1: Write the proportion equation
   20,010 : 32,152 = 32,152 : x
2. Step 2: Convert to fraction form
   20,010/32,152 = 32,152/x
3. Step 3: Cross multiply
   20,010x = 32,152 × 32,152
4. Step 4: Simplify right side
   20,010x = 1,033,751,104
5. Step 5: Solve for x
   x = 1,033,751,104/20,010
6. Step 6: Final answer
   x = 51,661.72