Finding the Third Proportional to 35,776 and 55,712

Step by Step Solution

1. Step 1: Write the proportion equation
   35,776 : 55,712 = 55,712 : x
2. Step 2: Convert to fraction form
   35,776/55,712 = 55,712/x
3. Step 3: Cross multiply
   35,776x = 55,712 × 55,712
4. Step 4: Simplify right side
   35,776x = 3,103,826,944
5. Step 5: Solve for x
   x = 3,103,826,944/35,776
6. Step 6: Final answer
   x = 86,757.24