Finding the Third Proportional to 31,645.50 and 46,980.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,645.50 : 46,980.75 = 46,980.75 : x
2. Step 2: Convert to fraction form
   31,645.50/46,980.75 = 46,980.75/x
3. Step 3: Cross multiply
   31,645.50x = 46,980.75 × 46,980.75
4. Step 4: Simplify right side
   31,645.50x = 2,207,190,870.56
5. Step 5: Solve for x
   x = 2,207,190,870.56/31,645.50
6. Step 6: Final answer
   x = 69,747.38