Finding the Third Proportional to 19,644.75 and 42,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,644.75 : 42,427.50 = 42,427.50 : x
2. Step 2: Convert to fraction form
   19,644.75/42,427.50 = 42,427.50/x
3. Step 3: Cross multiply
   19,644.75x = 42,427.50 × 42,427.50
4. Step 4: Simplify right side
   19,644.75x = 1,800,092,756.25
5. Step 5: Solve for x
   x = 1,800,092,756.25/19,644.75
6. Step 6: Final answer
   x = 91,632.26