Finding the Third Proportional to 31,698.84 and 74,964.23

Step by Step Solution

1. Step 1: Write the proportion equation
   31,698.84 : 74,964.23 = 74,964.23 : x
2. Step 2: Convert to fraction form
   31,698.84/74,964.23 = 74,964.23/x
3. Step 3: Cross multiply
   31,698.84x = 74,964.23 × 74,964.23
4. Step 4: Simplify right side
   31,698.84x = 5,619,636,435.43
5. Step 5: Solve for x
   x = 5,619,636,435.43/31,698.84
6. Step 6: Final answer
   x = 177,282.06