Finding the Third Proportional to 1,051.50 and 1,580.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,051.50 : 1,580.25 = 1,580.25 : x
2. Step 2: Convert to fraction form
   1,051.50/1,580.25 = 1,580.25/x
3. Step 3: Cross multiply
   1,051.50x = 1,580.25 × 1,580.25
4. Step 4: Simplify right side
   1,051.50x = 2,497,190.06
5. Step 5: Solve for x
   x = 2,497,190.06/1,051.50
6. Step 6: Final answer
   x = 2,374.88