Finding the Third Proportional to 35,672 and 55,205

Step by Step Solution

1. Step 1: Write the proportion equation
   35,672 : 55,205 = 55,205 : x
2. Step 2: Convert to fraction form
   35,672/55,205 = 55,205/x
3. Step 3: Cross multiply
   35,672x = 55,205 × 55,205
4. Step 4: Simplify right side
   35,672x = 3,047,592,025
5. Step 5: Solve for x
   x = 3,047,592,025/35,672
6. Step 6: Final answer
   x = 85,433.73