Finding the Third Proportional to 37,142 and 55,722

Step by Step Solution

1. Step 1: Write the proportion equation
   37,142 : 55,722 = 55,722 : x
2. Step 2: Convert to fraction form
   37,142/55,722 = 55,722/x
3. Step 3: Cross multiply
   37,142x = 55,722 × 55,722
4. Step 4: Simplify right side
   37,142x = 3,104,941,284
5. Step 5: Solve for x
   x = 3,104,941,284/37,142
6. Step 6: Final answer
   x = 83,596.50