Finding the Third Proportional to 30,788 and 47,766

Step by Step Solution

1. Step 1: Write the proportion equation
   30,788 : 47,766 = 47,766 : x
2. Step 2: Convert to fraction form
   30,788/47,766 = 47,766/x
3. Step 3: Cross multiply
   30,788x = 47,766 × 47,766
4. Step 4: Simplify right side
   30,788x = 2,281,590,756
5. Step 5: Solve for x
   x = 2,281,590,756/30,788
6. Step 6: Final answer
   x = 74,106.49