Finding the Third Proportional to 32,978 and 46,131

Step by Step Solution

1. Step 1: Write the proportion equation
   32,978 : 46,131 = 46,131 : x
2. Step 2: Convert to fraction form
   32,978/46,131 = 46,131/x
3. Step 3: Cross multiply
   32,978x = 46,131 × 46,131
4. Step 4: Simplify right side
   32,978x = 2,128,069,161
5. Step 5: Solve for x
   x = 2,128,069,161/32,978
6. Step 6: Final answer
   x = 64,529.96