Finding the Third Proportional to 31,596 and 70,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,596 : 70,198.50 = 70,198.50 : x
2. Step 2: Convert to fraction form
   31,596/70,198.50 = 70,198.50/x
3. Step 3: Cross multiply
   31,596x = 70,198.50 × 70,198.50
4. Step 4: Simplify right side
   31,596x = 4,927,829,402.25
5. Step 5: Solve for x
   x = 4,927,829,402.25/31,596
6. Step 6: Final answer
   x = 155,963.71