Finding the Third Proportional to 35,882 and 55,695

Step by Step Solution

1. Step 1: Write the proportion equation
   35,882 : 55,695 = 55,695 : x
2. Step 2: Convert to fraction form
   35,882/55,695 = 55,695/x
3. Step 3: Cross multiply
   35,882x = 55,695 × 55,695
4. Step 4: Simplify right side
   35,882x = 3,101,933,025
5. Step 5: Solve for x
   x = 3,101,933,025/35,882
6. Step 6: Final answer
   x = 86,448.16