Finding the Third Proportional to 32,938 and 51,077

Step by Step Solution

1. Step 1: Write the proportion equation
   32,938 : 51,077 = 51,077 : x
2. Step 2: Convert to fraction form
   32,938/51,077 = 51,077/x
3. Step 3: Cross multiply
   32,938x = 51,077 × 51,077
4. Step 4: Simplify right side
   32,938x = 2,608,859,929
5. Step 5: Solve for x
   x = 2,608,859,929/32,938
6. Step 6: Final answer
   x = 79,205.17