Finding the Third Proportional to 49,352 and 64,796

Step by Step Solution

1. Step 1: Write the proportion equation
   49,352 : 64,796 = 64,796 : x
2. Step 2: Convert to fraction form
   49,352/64,796 = 64,796/x
3. Step 3: Cross multiply
   49,352x = 64,796 × 64,796
4. Step 4: Simplify right side
   49,352x = 4,198,521,616
5. Step 5: Solve for x
   x = 4,198,521,616/49,352
6. Step 6: Final answer
   x = 85,072.98