Finding the Third Proportional to 27,822.50 and 41,725.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,822.50 : 41,725.75 = 41,725.75 : x
2. Step 2: Convert to fraction form
   27,822.50/41,725.75 = 41,725.75/x
3. Step 3: Cross multiply
   27,822.50x = 41,725.75 × 41,725.75
4. Step 4: Simplify right side
   27,822.50x = 1,741,038,213.06
5. Step 5: Solve for x
   x = 1,741,038,213.06/27,822.50
6. Step 6: Final answer
   x = 62,576.63