Finding the Third Proportional to 31,252.50 and 41,748.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,252.50 : 41,748.75 = 41,748.75 : x
2. Step 2: Convert to fraction form
   31,252.50/41,748.75 = 41,748.75/x
3. Step 3: Cross multiply
   31,252.50x = 41,748.75 × 41,748.75
4. Step 4: Simplify right side
   31,252.50x = 1,742,958,126.56
5. Step 5: Solve for x
   x = 1,742,958,126.56/31,252.50
6. Step 6: Final answer
   x = 55,770.20