Finding the Third Proportional to 35,802 and 55,323

Step by Step Solution

1. Step 1: Write the proportion equation
   35,802 : 55,323 = 55,323 : x
2. Step 2: Convert to fraction form
   35,802/55,323 = 55,323/x
3. Step 3: Cross multiply
   35,802x = 55,323 × 55,323
4. Step 4: Simplify right side
   35,802x = 3,060,634,329
5. Step 5: Solve for x
   x = 3,060,634,329/35,802
6. Step 6: Final answer
   x = 85,487.80