Finding the Third Proportional to 31,878 and 69,588

Step by Step Solution

1. Step 1: Write the proportion equation
   31,878 : 69,588 = 69,588 : x
2. Step 2: Convert to fraction form
   31,878/69,588 = 69,588/x
3. Step 3: Cross multiply
   31,878x = 69,588 × 69,588
4. Step 4: Simplify right side
   31,878x = 4,842,489,744
5. Step 5: Solve for x
   x = 4,842,489,744/31,878
6. Step 6: Final answer
   x = 151,906.95