Finding the Third Proportional to 31,566 and 73,083

Step by Step Solution

1. Step 1: Write the proportion equation
   31,566 : 73,083 = 73,083 : x
2. Step 2: Convert to fraction form
   31,566/73,083 = 73,083/x
3. Step 3: Cross multiply
   31,566x = 73,083 × 73,083
4. Step 4: Simplify right side
   31,566x = 5,341,124,889
5. Step 5: Solve for x
   x = 5,341,124,889/31,566
6. Step 6: Final answer
   x = 169,205.00