Finding the Third Proportional to 1,430.16 and 2,080.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,430.16 : 2,080.05 = 2,080.05 : x
2. Step 2: Convert to fraction form
   1,430.16/2,080.05 = 2,080.05/x
3. Step 3: Cross multiply
   1,430.16x = 2,080.05 × 2,080.05
4. Step 4: Simplify right side
   1,430.16x = 4,326,627.50
5. Step 5: Solve for x
   x = 4,326,627.50/1,430.16
6. Step 6: Final answer
   x = 3,025.28