Finding the Third Proportional to 55,663 and 86,086

Step by Step Solution

1. Step 1: Write the proportion equation
   55,663 : 86,086 = 86,086 : x
2. Step 2: Convert to fraction form
   55,663/86,086 = 86,086/x
3. Step 3: Cross multiply
   55,663x = 86,086 × 86,086
4. Step 4: Simplify right side
   55,663x = 7,410,799,396
5. Step 5: Solve for x
   x = 7,410,799,396/55,663
6. Step 6: Final answer
   x = 133,136.90