Finding the Third Proportional to 31,636 and 46,152

Step by Step Solution

1. Step 1: Write the proportion equation
   31,636 : 46,152 = 46,152 : x
2. Step 2: Convert to fraction form
   31,636/46,152 = 46,152/x
3. Step 3: Cross multiply
   31,636x = 46,152 × 46,152
4. Step 4: Simplify right side
   31,636x = 2,130,007,104
5. Step 5: Solve for x
   x = 2,130,007,104/31,636
6. Step 6: Final answer
   x = 67,328.58