Finding the Third Proportional to 1,321 and 1,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321 : 1,962.50 = 1,962.50 : x
2. Step 2: Convert to fraction form
   1,321/1,962.50 = 1,962.50/x
3. Step 3: Cross multiply
   1,321x = 1,962.50 × 1,962.50
4. Step 4: Simplify right side
   1,321x = 3,851,406.25
5. Step 5: Solve for x
   x = 3,851,406.25/1,321
6. Step 6: Final answer
   x = 2,915.52