Finding the Third Proportional to 35,664 and 55,444

Step by Step Solution

1. Step 1: Write the proportion equation
   35,664 : 55,444 = 55,444 : x
2. Step 2: Convert to fraction form
   35,664/55,444 = 55,444/x
3. Step 3: Cross multiply
   35,664x = 55,444 × 55,444
4. Step 4: Simplify right side
   35,664x = 3,074,037,136
5. Step 5: Solve for x
   x = 3,074,037,136/35,664
6. Step 6: Final answer
   x = 86,194.40