Finding the Third Proportional to 40,820 and 57,776

Step by Step Solution

1. Step 1: Write the proportion equation
   40,820 : 57,776 = 57,776 : x
2. Step 2: Convert to fraction form
   40,820/57,776 = 57,776/x
3. Step 3: Cross multiply
   40,820x = 57,776 × 57,776
4. Step 4: Simplify right side
   40,820x = 3,338,066,176
5. Step 5: Solve for x
   x = 3,338,066,176/40,820
6. Step 6: Final answer
   x = 81,775.26