Finding the Third Proportional to 1,465.50 and 1,954.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.50 : 1,954.50 = 1,954.50 : x
2. Step 2: Convert to fraction form
   1,465.50/1,954.50 = 1,954.50/x
3. Step 3: Cross multiply
   1,465.50x = 1,954.50 × 1,954.50
4. Step 4: Simplify right side
   1,465.50x = 3,820,070.25
5. Step 5: Solve for x
   x = 3,820,070.25/1,465.50
6. Step 6: Final answer
   x = 2,606.67