Finding the Third Proportional to 19,764 and 30,594

Step by Step Solution

1. Step 1: Write the proportion equation
   19,764 : 30,594 = 30,594 : x
2. Step 2: Convert to fraction form
   19,764/30,594 = 30,594/x
3. Step 3: Cross multiply
   19,764x = 30,594 × 30,594
4. Step 4: Simplify right side
   19,764x = 935,992,836
5. Step 5: Solve for x
   x = 935,992,836/19,764
6. Step 6: Final answer
   x = 47,358.47