Finding the Third Proportional to 32,013.50 and 46,982

Step by Step Solution

1. Step 1: Write the proportion equation
   32,013.50 : 46,982 = 46,982 : x
2. Step 2: Convert to fraction form
   32,013.50/46,982 = 46,982/x
3. Step 3: Cross multiply
   32,013.50x = 46,982 × 46,982
4. Step 4: Simplify right side
   32,013.50x = 2,207,308,324
5. Step 5: Solve for x
   x = 2,207,308,324/32,013.50
6. Step 6: Final answer
   x = 68,949.30