Finding the Third Proportional to 1,406.67 and 1,887.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.67 : 1,887.68 = 1,887.68 : x
2. Step 2: Convert to fraction form
   1,406.67/1,887.68 = 1,887.68/x
3. Step 3: Cross multiply
   1,406.67x = 1,887.68 × 1,887.68
4. Step 4: Simplify right side
   1,406.67x = 3,563,334.60
5. Step 5: Solve for x
   x = 3,563,334.60/1,406.67
6. Step 6: Final answer
   x = 2,533.17