Finding the Third Proportional to 31,299 and 69,595

Step by Step Solution

1. Step 1: Write the proportion equation
   31,299 : 69,595 = 69,595 : x
2. Step 2: Convert to fraction form
   31,299/69,595 = 69,595/x
3. Step 3: Cross multiply
   31,299x = 69,595 × 69,595
4. Step 4: Simplify right side
   31,299x = 4,843,464,025
5. Step 5: Solve for x
   x = 4,843,464,025/31,299
6. Step 6: Final answer
   x = 154,748.20