Finding the Third Proportional to 40,505 and 54,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,505 : 54,527.50 = 54,527.50 : x
2. Step 2: Convert to fraction form
   40,505/54,527.50 = 54,527.50/x
3. Step 3: Cross multiply
   40,505x = 54,527.50 × 54,527.50
4. Step 4: Simplify right side
   40,505x = 2,973,248,256.25
5. Step 5: Solve for x
   x = 2,973,248,256.25/40,505
6. Step 6: Final answer
   x = 73,404.47