Finding the Third Proportional to 14,536.50 and 31,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,536.50 : 31,696.50 = 31,696.50 : x
2. Step 2: Convert to fraction form
   14,536.50/31,696.50 = 31,696.50/x
3. Step 3: Cross multiply
   14,536.50x = 31,696.50 × 31,696.50
4. Step 4: Simplify right side
   14,536.50x = 1,004,668,112.25
5. Step 5: Solve for x
   x = 1,004,668,112.25/14,536.50
6. Step 6: Final answer
   x = 69,113.48