Finding the Third Proportional to 1,316.50 and 1,975.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,316.50 : 1,975.25 = 1,975.25 : x
2. Step 2: Convert to fraction form
   1,316.50/1,975.25 = 1,975.25/x
3. Step 3: Cross multiply
   1,316.50x = 1,975.25 × 1,975.25
4. Step 4: Simplify right side
   1,316.50x = 3,901,612.56
5. Step 5: Solve for x
   x = 3,901,612.56/1,316.50
6. Step 6: Final answer
   x = 2,963.63