Finding the Third Proportional to 2,261 and 2,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,261 : 2,672.50 = 2,672.50 : x
2. Step 2: Convert to fraction form
   2,261/2,672.50 = 2,672.50/x
3. Step 3: Cross multiply
   2,261x = 2,672.50 × 2,672.50
4. Step 4: Simplify right side
   2,261x = 7,142,256.25
5. Step 5: Solve for x
   x = 7,142,256.25/2,261
6. Step 6: Final answer
   x = 3,158.89