Finding the Third Proportional to 31,588 and 67,954

Step by Step Solution

1. Step 1: Write the proportion equation
   31,588 : 67,954 = 67,954 : x
2. Step 2: Convert to fraction form
   31,588/67,954 = 67,954/x
3. Step 3: Cross multiply
   31,588x = 67,954 × 67,954
4. Step 4: Simplify right side
   31,588x = 4,617,746,116
5. Step 5: Solve for x
   x = 4,617,746,116/31,588
6. Step 6: Final answer
   x = 146,186.72