Finding the Third Proportional to 40,675.50 and 55,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,675.50 : 55,417.50 = 55,417.50 : x
2. Step 2: Convert to fraction form
   40,675.50/55,417.50 = 55,417.50/x
3. Step 3: Cross multiply
   40,675.50x = 55,417.50 × 55,417.50
4. Step 4: Simplify right side
   40,675.50x = 3,071,099,306.25
5. Step 5: Solve for x
   x = 3,071,099,306.25/40,675.50
6. Step 6: Final answer
   x = 75,502.44