Finding the Third Proportional to 1,545.19 and 1,875.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,545.19 : 1,875.94 = 1,875.94 : x
2. Step 2: Convert to fraction form
   1,545.19/1,875.94 = 1,875.94/x
3. Step 3: Cross multiply
   1,545.19x = 1,875.94 × 1,875.94
4. Step 4: Simplify right side
   1,545.19x = 3,519,141.50
5. Step 5: Solve for x
   x = 3,519,141.50/1,545.19
6. Step 6: Final answer
   x = 2,277.49