Finding the Third Proportional to 32,146 and 49,770

Step by Step Solution

1. Step 1: Write the proportion equation
   32,146 : 49,770 = 49,770 : x
2. Step 2: Convert to fraction form
   32,146/49,770 = 49,770/x
3. Step 3: Cross multiply
   32,146x = 49,770 × 49,770
4. Step 4: Simplify right side
   32,146x = 2,477,052,900
5. Step 5: Solve for x
   x = 2,477,052,900/32,146
6. Step 6: Final answer
   x = 77,056.33