Finding the Third Proportional to 10,534.50 and 12,316.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,534.50 : 12,316.50 = 12,316.50 : x
2. Step 2: Convert to fraction form
   10,534.50/12,316.50 = 12,316.50/x
3. Step 3: Cross multiply
   10,534.50x = 12,316.50 × 12,316.50
4. Step 4: Simplify right side
   10,534.50x = 151,696,172.25
5. Step 5: Solve for x
   x = 151,696,172.25/10,534.50
6. Step 6: Final answer
   x = 14,399.94