Finding the Third Proportional to 31,641.75 and 46,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,641.75 : 46,975.50 = 46,975.50 : x
2. Step 2: Convert to fraction form
   31,641.75/46,975.50 = 46,975.50/x
3. Step 3: Cross multiply
   31,641.75x = 46,975.50 × 46,975.50
4. Step 4: Simplify right side
   31,641.75x = 2,206,697,600.25
5. Step 5: Solve for x
   x = 2,206,697,600.25/31,641.75
6. Step 6: Final answer
   x = 69,740.06