Finding the Third Proportional to 31,422 and 46,077

Step by Step Solution

1. Step 1: Write the proportion equation
   31,422 : 46,077 = 46,077 : x
2. Step 2: Convert to fraction form
   31,422/46,077 = 46,077/x
3. Step 3: Cross multiply
   31,422x = 46,077 × 46,077
4. Step 4: Simplify right side
   31,422x = 2,123,089,929
5. Step 5: Solve for x
   x = 2,123,089,929/31,422
6. Step 6: Final answer
   x = 67,566.99