Finding the Third Proportional to 31,970 and 68,550

Step by Step Solution

1. Step 1: Write the proportion equation
   31,970 : 68,550 = 68,550 : x
2. Step 2: Convert to fraction form
   31,970/68,550 = 68,550/x
3. Step 3: Cross multiply
   31,970x = 68,550 × 68,550
4. Step 4: Simplify right side
   31,970x = 4,699,102,500
5. Step 5: Solve for x
   x = 4,699,102,500/31,970
6. Step 6: Final answer
   x = 146,984.75