Finding the Third Proportional to 31,509.50 and 68,191

Step by Step Solution

1. Step 1: Write the proportion equation
   31,509.50 : 68,191 = 68,191 : x
2. Step 2: Convert to fraction form
   31,509.50/68,191 = 68,191/x
3. Step 3: Cross multiply
   31,509.50x = 68,191 × 68,191
4. Step 4: Simplify right side
   31,509.50x = 4,650,012,481
5. Step 5: Solve for x
   x = 4,650,012,481/31,509.50
6. Step 6: Final answer
   x = 147,574.94