Finding the Third Proportional to 19,674 and 29,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   19,674 : 29,585.25 = 29,585.25 : x
2. Step 2: Convert to fraction form
   19,674/29,585.25 = 29,585.25/x
3. Step 3: Cross multiply
   19,674x = 29,585.25 × 29,585.25
4. Step 4: Simplify right side
   19,674x = 875,287,017.56
5. Step 5: Solve for x
   x = 875,287,017.56/19,674
6. Step 6: Final answer
   x = 44,489.53