Finding the Third Proportional to 20,526 and 31,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,526 : 31,696.50 = 31,696.50 : x
2. Step 2: Convert to fraction form
   20,526/31,696.50 = 31,696.50/x
3. Step 3: Cross multiply
   20,526x = 31,696.50 × 31,696.50
4. Step 4: Simplify right side
   20,526x = 1,004,668,112.25
5. Step 5: Solve for x
   x = 1,004,668,112.25/20,526
6. Step 6: Final answer
   x = 48,946.12