Finding the Third Proportional to 35,770 and 56,627

Step by Step Solution

1. Step 1: Write the proportion equation
   35,770 : 56,627 = 56,627 : x
2. Step 2: Convert to fraction form
   35,770/56,627 = 56,627/x
3. Step 3: Cross multiply
   35,770x = 56,627 × 56,627
4. Step 4: Simplify right side
   35,770x = 3,206,617,129
5. Step 5: Solve for x
   x = 3,206,617,129/35,770
6. Step 6: Final answer
   x = 89,645.43