Finding the Third Proportional to 35,658 and 54,945

Step by Step Solution

1. Step 1: Write the proportion equation
   35,658 : 54,945 = 54,945 : x
2. Step 2: Convert to fraction form
   35,658/54,945 = 54,945/x
3. Step 3: Cross multiply
   35,658x = 54,945 × 54,945
4. Step 4: Simplify right side
   35,658x = 3,018,953,025
5. Step 5: Solve for x
   x = 3,018,953,025/35,658
6. Step 6: Final answer
   x = 84,664.12