Finding the Third Proportional to 31,762 and 69,668

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762 : 69,668 = 69,668 : x
2. Step 2: Convert to fraction form
   31,762/69,668 = 69,668/x
3. Step 3: Cross multiply
   31,762x = 69,668 × 69,668
4. Step 4: Simplify right side
   31,762x = 4,853,630,224
5. Step 5: Solve for x
   x = 4,853,630,224/31,762
6. Step 6: Final answer
   x = 152,812.49