Finding the Third Proportional to 27,742.50 and 42,545.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,742.50 : 42,545.25 = 42,545.25 : x
2. Step 2: Convert to fraction form
   27,742.50/42,545.25 = 42,545.25/x
3. Step 3: Cross multiply
   27,742.50x = 42,545.25 × 42,545.25
4. Step 4: Simplify right side
   27,742.50x = 1,810,098,297.56
5. Step 5: Solve for x
   x = 1,810,098,297.56/27,742.50
6. Step 6: Final answer
   x = 65,246.40