Finding the Third Proportional to 31,954.50 and 69,676.45

Step by Step Solution

1. Step 1: Write the proportion equation
   31,954.50 : 69,676.45 = 69,676.45 : x
2. Step 2: Convert to fraction form
   31,954.50/69,676.45 = 69,676.45/x
3. Step 3: Cross multiply
   31,954.50x = 69,676.45 × 69,676.45
4. Step 4: Simplify right side
   31,954.50x = 4,854,808,120.08
5. Step 5: Solve for x
   x = 4,854,808,120.08/31,954.50
6. Step 6: Final answer
   x = 151,928.78