Finding the Third Proportional to 33,682.50 and 71,010

Step by Step Solution

1. Step 1: Write the proportion equation
   33,682.50 : 71,010 = 71,010 : x
2. Step 2: Convert to fraction form
   33,682.50/71,010 = 71,010/x
3. Step 3: Cross multiply
   33,682.50x = 71,010 × 71,010
4. Step 4: Simplify right side
   33,682.50x = 5,042,420,100
5. Step 5: Solve for x
   x = 5,042,420,100/33,682.50
6. Step 6: Final answer
   x = 149,704.45