Finding the Third Proportional to 31,686.19 and 68,338.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31,686.19 : 68,338.69 = 68,338.69 : x
2. Step 2: Convert to fraction form
   31,686.19/68,338.69 = 68,338.69/x
3. Step 3: Cross multiply
   31,686.19x = 68,338.69 × 68,338.69
4. Step 4: Simplify right side
   31,686.19x = 4,670,176,209.22
5. Step 5: Solve for x
   x = 4,670,176,209.22/31,686.19
6. Step 6: Final answer
   x = 147,388.39