Finding the Third Proportional to 31,735.50 and 46,620

Step by Step Solution

1. Step 1: Write the proportion equation
   31,735.50 : 46,620 = 46,620 : x
2. Step 2: Convert to fraction form
   31,735.50/46,620 = 46,620/x
3. Step 3: Cross multiply
   31,735.50x = 46,620 × 46,620
4. Step 4: Simplify right side
   31,735.50x = 2,173,424,400
5. Step 5: Solve for x
   x = 2,173,424,400/31,735.50
6. Step 6: Final answer
   x = 68,485.59