Finding the Third Proportional to 27,507.50 and 41,158.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,507.50 : 41,158.75 = 41,158.75 : x
2. Step 2: Convert to fraction form
   27,507.50/41,158.75 = 41,158.75/x
3. Step 3: Cross multiply
   27,507.50x = 41,158.75 × 41,158.75
4. Step 4: Simplify right side
   27,507.50x = 1,694,042,701.56
5. Step 5: Solve for x
   x = 1,694,042,701.56/27,507.50
6. Step 6: Final answer
   x = 61,584.76