Finding the Third Proportional to 31,729 and 70,550

Step by Step Solution

1. Step 1: Write the proportion equation
   31,729 : 70,550 = 70,550 : x
2. Step 2: Convert to fraction form
   31,729/70,550 = 70,550/x
3. Step 3: Cross multiply
   31,729x = 70,550 × 70,550
4. Step 4: Simplify right side
   31,729x = 4,977,302,500
5. Step 5: Solve for x
   x = 4,977,302,500/31,729
6. Step 6: Final answer
   x = 156,869.19