Finding the Third Proportional to 31,699.50 and 69,033

Step by Step Solution

1. Step 1: Write the proportion equation
   31,699.50 : 69,033 = 69,033 : x
2. Step 2: Convert to fraction form
   31,699.50/69,033 = 69,033/x
3. Step 3: Cross multiply
   31,699.50x = 69,033 × 69,033
4. Step 4: Simplify right side
   31,699.50x = 4,765,555,089
5. Step 5: Solve for x
   x = 4,765,555,089/31,699.50
6. Step 6: Final answer
   x = 150,335.34