Finding the Third Proportional to 1,461 and 2,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461 : 2,272.50 = 2,272.50 : x
2. Step 2: Convert to fraction form
   1,461/2,272.50 = 2,272.50/x
3. Step 3: Cross multiply
   1,461x = 2,272.50 × 2,272.50
4. Step 4: Simplify right side
   1,461x = 5,164,256.25
5. Step 5: Solve for x
   x = 5,164,256.25/1,461
6. Step 6: Final answer
   x = 3,534.74