Finding the Third Proportional to 32,978 and 51,148

Step by Step Solution

1. Step 1: Write the proportion equation
   32,978 : 51,148 = 51,148 : x
2. Step 2: Convert to fraction form
   32,978/51,148 = 51,148/x
3. Step 3: Cross multiply
   32,978x = 51,148 × 51,148
4. Step 4: Simplify right side
   32,978x = 2,616,117,904
5. Step 5: Solve for x
   x = 2,616,117,904/32,978
6. Step 6: Final answer
   x = 79,329.19