Finding the Third Proportional to 1,416.25 and 2,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.25 : 2,187.50 = 2,187.50 : x
2. Step 2: Convert to fraction form
   1,416.25/2,187.50 = 2,187.50/x
3. Step 3: Cross multiply
   1,416.25x = 2,187.50 × 2,187.50
4. Step 4: Simplify right side
   1,416.25x = 4,785,156.25
5. Step 5: Solve for x
   x = 4,785,156.25/1,416.25
6. Step 6: Final answer
   x = 3,378.75