Finding the Third Proportional to 55,776 and 80,640

Step by Step Solution

1. Step 1: Write the proportion equation
   55,776 : 80,640 = 80,640 : x
2. Step 2: Convert to fraction form
   55,776/80,640 = 80,640/x
3. Step 3: Cross multiply
   55,776x = 80,640 × 80,640
4. Step 4: Simplify right side
   55,776x = 6,502,809,600
5. Step 5: Solve for x
   x = 6,502,809,600/55,776
6. Step 6: Final answer
   x = 116,587.95