Finding the Third Proportional to 1,140 and 1,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,140 : 1,699.50 = 1,699.50 : x
2. Step 2: Convert to fraction form
   1,140/1,699.50 = 1,699.50/x
3. Step 3: Cross multiply
   1,140x = 1,699.50 × 1,699.50
4. Step 4: Simplify right side
   1,140x = 2,888,300.25
5. Step 5: Solve for x
   x = 2,888,300.25/1,140
6. Step 6: Final answer
   x = 2,533.60