Finding the Third Proportional to 32,142 and 49,764

Step by Step Solution

1. Step 1: Write the proportion equation
   32,142 : 49,764 = 49,764 : x
2. Step 2: Convert to fraction form
   32,142/49,764 = 49,764/x
3. Step 3: Cross multiply
   32,142x = 49,764 × 49,764
4. Step 4: Simplify right side
   32,142x = 2,476,455,696
5. Step 5: Solve for x
   x = 2,476,455,696/32,142
6. Step 6: Final answer
   x = 77,047.34