Finding the Third Proportional to 31,668 and 69,219

Step by Step Solution

1. Step 1: Write the proportion equation
   31,668 : 69,219 = 69,219 : x
2. Step 2: Convert to fraction form
   31,668/69,219 = 69,219/x
3. Step 3: Cross multiply
   31,668x = 69,219 × 69,219
4. Step 4: Simplify right side
   31,668x = 4,791,269,961
5. Step 5: Solve for x
   x = 4,791,269,961/31,668
6. Step 6: Final answer
   x = 151,296.89