Finding the Third Proportional to 31,476 and 68,118

Step by Step Solution

1. Step 1: Write the proportion equation
   31,476 : 68,118 = 68,118 : x
2. Step 2: Convert to fraction form
   31,476/68,118 = 68,118/x
3. Step 3: Cross multiply
   31,476x = 68,118 × 68,118
4. Step 4: Simplify right side
   31,476x = 4,640,061,924
5. Step 5: Solve for x
   x = 4,640,061,924/31,476
6. Step 6: Final answer
   x = 147,415.87