Finding the Third Proportional to 31,780.50 and 46,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,780.50 : 46,696.50 = 46,696.50 : x
2. Step 2: Convert to fraction form
   31,780.50/46,696.50 = 46,696.50/x
3. Step 3: Cross multiply
   31,780.50x = 46,696.50 × 46,696.50
4. Step 4: Simplify right side
   31,780.50x = 2,180,563,112.25
5. Step 5: Solve for x
   x = 2,180,563,112.25/31,780.50
6. Step 6: Final answer
   x = 68,613.24