Finding the Third Proportional to 35,772 and 55,706

Step by Step Solution

1. Step 1: Write the proportion equation
   35,772 : 55,706 = 55,706 : x
2. Step 2: Convert to fraction form
   35,772/55,706 = 55,706/x
3. Step 3: Cross multiply
   35,772x = 55,706 × 55,706
4. Step 4: Simplify right side
   35,772x = 3,103,158,436
5. Step 5: Solve for x
   x = 3,103,158,436/35,772
6. Step 6: Final answer
   x = 86,748.25