Finding the Third Proportional to 31,714 and 69,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,714 : 69,705.50 = 69,705.50 : x
2. Step 2: Convert to fraction form
   31,714/69,705.50 = 69,705.50/x
3. Step 3: Cross multiply
   31,714x = 69,705.50 × 69,705.50
4. Step 4: Simplify right side
   31,714x = 4,858,856,730.25
5. Step 5: Solve for x
   x = 4,858,856,730.25/31,714
6. Step 6: Final answer
   x = 153,208.57