Finding the Third Proportional to 33,580 and 70,614

Step by Step Solution

1. Step 1: Write the proportion equation
   33,580 : 70,614 = 70,614 : x
2. Step 2: Convert to fraction form
   33,580/70,614 = 70,614/x
3. Step 3: Cross multiply
   33,580x = 70,614 × 70,614
4. Step 4: Simplify right side
   33,580x = 4,986,336,996
5. Step 5: Solve for x
   x = 4,986,336,996/33,580
6. Step 6: Final answer
   x = 148,491.27