Finding the Third Proportional to 16,696.50 and 38,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,696.50 : 38,824.50 = 38,824.50 : x
2. Step 2: Convert to fraction form
   16,696.50/38,824.50 = 38,824.50/x
3. Step 3: Cross multiply
   16,696.50x = 38,824.50 × 38,824.50
4. Step 4: Simplify right side
   16,696.50x = 1,507,341,800.25
5. Step 5: Solve for x
   x = 1,507,341,800.25/16,696.50
6. Step 6: Final answer
   x = 90,278.91