Finding the Third Proportional to 30,461 and 46,077

Step by Step Solution

1. Step 1: Write the proportion equation
   30,461 : 46,077 = 46,077 : x
2. Step 2: Convert to fraction form
   30,461/46,077 = 46,077/x
3. Step 3: Cross multiply
   30,461x = 46,077 × 46,077
4. Step 4: Simplify right side
   30,461x = 2,123,089,929
5. Step 5: Solve for x
   x = 2,123,089,929/30,461
6. Step 6: Final answer
   x = 69,698.63