Finding the Third Proportional to 31,828.50 and 70,013.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,828.50 : 70,013.25 = 70,013.25 : x
2. Step 2: Convert to fraction form
   31,828.50/70,013.25 = 70,013.25/x
3. Step 3: Cross multiply
   31,828.50x = 70,013.25 × 70,013.25
4. Step 4: Simplify right side
   31,828.50x = 4,901,855,175.56
5. Step 5: Solve for x
   x = 4,901,855,175.56/31,828.50
6. Step 6: Final answer
   x = 154,008.36