Finding the Third Proportional to 1,867.50 and 2,892.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,867.50 : 2,892.09 = 2,892.09 : x
2. Step 2: Convert to fraction form
   1,867.50/2,892.09 = 2,892.09/x
3. Step 3: Cross multiply
   1,867.50x = 2,892.09 × 2,892.09
4. Step 4: Simplify right side
   1,867.50x = 8,364,206.26
5. Step 5: Solve for x
   x = 8,364,206.26/1,867.50
6. Step 6: Final answer
   x = 4,478.83