Finding the Third Proportional to 10,323 and 14,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,323 : 14,611.50 = 14,611.50 : x
2. Step 2: Convert to fraction form
   10,323/14,611.50 = 14,611.50/x
3. Step 3: Cross multiply
   10,323x = 14,611.50 × 14,611.50
4. Step 4: Simplify right side
   10,323x = 213,495,932.25
5. Step 5: Solve for x
   x = 213,495,932.25/10,323
6. Step 6: Final answer
   x = 20,681.58