Finding the Third Proportional to 1,875.66 and 2,109.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,875.66 : 2,109.16 = 2,109.16 : x
2. Step 2: Convert to fraction form
   1,875.66/2,109.16 = 2,109.16/x
3. Step 3: Cross multiply
   1,875.66x = 2,109.16 × 2,109.16
4. Step 4: Simplify right side
   1,875.66x = 4,448,573.04
5. Step 5: Solve for x
   x = 4,448,573.04/1,875.66
6. Step 6: Final answer
   x = 2,371.74