Finding the Third Proportional to 35,820 and 55,377

Step by Step Solution

1. Step 1: Write the proportion equation
   35,820 : 55,377 = 55,377 : x
2. Step 2: Convert to fraction form
   35,820/55,377 = 55,377/x
3. Step 3: Cross multiply
   35,820x = 55,377 × 55,377
4. Step 4: Simplify right side
   35,820x = 3,066,612,129
5. Step 5: Solve for x
   x = 3,066,612,129/35,820
6. Step 6: Final answer
   x = 85,611.73