Finding the Third Proportional to 31,570 and 68,503

Step by Step Solution

1. Step 1: Write the proportion equation
   31,570 : 68,503 = 68,503 : x
2. Step 2: Convert to fraction form
   31,570/68,503 = 68,503/x
3. Step 3: Cross multiply
   31,570x = 68,503 × 68,503
4. Step 4: Simplify right side
   31,570x = 4,692,661,009
5. Step 5: Solve for x
   x = 4,692,661,009/31,570
6. Step 6: Final answer
   x = 148,643.05