Finding the Third Proportional to 20,569.50 and 27,875.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,569.50 : 27,875.25 = 27,875.25 : x
2. Step 2: Convert to fraction form
   20,569.50/27,875.25 = 27,875.25/x
3. Step 3: Cross multiply
   20,569.50x = 27,875.25 × 27,875.25
4. Step 4: Simplify right side
   20,569.50x = 777,029,562.56
5. Step 5: Solve for x
   x = 777,029,562.56/20,569.50
6. Step 6: Final answer
   x = 37,775.81