Finding the Third Proportional to 31,169 and 57,006

Step by Step Solution

1. Step 1: Write the proportion equation
   31,169 : 57,006 = 57,006 : x
2. Step 2: Convert to fraction form
   31,169/57,006 = 57,006/x
3. Step 3: Cross multiply
   31,169x = 57,006 × 57,006
4. Step 4: Simplify right side
   31,169x = 3,249,684,036
5. Step 5: Solve for x
   x = 3,249,684,036/31,169
6. Step 6: Final answer
   x = 104,260.13