Finding the Third Proportional to 1,572.50 and 3,109

Step by Step Solution

1. Step 1: Write the proportion equation
   1,572.50 : 3,109 = 3,109 : x
2. Step 2: Convert to fraction form
   1,572.50/3,109 = 3,109/x
3. Step 3: Cross multiply
   1,572.50x = 3,109 × 3,109
4. Step 4: Simplify right side
   1,572.50x = 9,665,881
5. Step 5: Solve for x
   x = 9,665,881/1,572.50
6. Step 6: Final answer
   x = 6,146.82