Finding the Third Proportional to 46,120 and 64,770

Step by Step Solution

1. Step 1: Write the proportion equation
   46,120 : 64,770 = 64,770 : x
2. Step 2: Convert to fraction form
   46,120/64,770 = 64,770/x
3. Step 3: Cross multiply
   46,120x = 64,770 × 64,770
4. Step 4: Simplify right side
   46,120x = 4,195,152,900
5. Step 5: Solve for x
   x = 4,195,152,900/46,120
6. Step 6: Final answer
   x = 90,961.68