Finding the Third Proportional to 31,780.50 and 69,945

Step by Step Solution

1. Step 1: Write the proportion equation
   31,780.50 : 69,945 = 69,945 : x
2. Step 2: Convert to fraction form
   31,780.50/69,945 = 69,945/x
3. Step 3: Cross multiply
   31,780.50x = 69,945 × 69,945
4. Step 4: Simplify right side
   31,780.50x = 4,892,303,025
5. Step 5: Solve for x
   x = 4,892,303,025/31,780.50
6. Step 6: Final answer
   x = 153,940.40