Finding the Third Proportional to 35,085 and 55,772

Step by Step Solution

1. Step 1: Write the proportion equation
   35,085 : 55,772 = 55,772 : x
2. Step 2: Convert to fraction form
   35,085/55,772 = 55,772/x
3. Step 3: Cross multiply
   35,085x = 55,772 × 55,772
4. Step 4: Simplify right side
   35,085x = 3,110,515,984
5. Step 5: Solve for x
   x = 3,110,515,984/35,085
6. Step 6: Final answer
   x = 88,656.58