Finding the Third Proportional to 10,968 and 20,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,968 : 20,326.50 = 20,326.50 : x
2. Step 2: Convert to fraction form
   10,968/20,326.50 = 20,326.50/x
3. Step 3: Cross multiply
   10,968x = 20,326.50 × 20,326.50
4. Step 4: Simplify right side
   10,968x = 413,166,602.25
5. Step 5: Solve for x
   x = 413,166,602.25/10,968
6. Step 6: Final answer
   x = 37,670.19