Finding the Third Proportional to 19,853 and 42,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,853 : 42,583.50 = 42,583.50 : x
2. Step 2: Convert to fraction form
   19,853/42,583.50 = 42,583.50/x
3. Step 3: Cross multiply
   19,853x = 42,583.50 × 42,583.50
4. Step 4: Simplify right side
   19,853x = 1,813,354,472.25
5. Step 5: Solve for x
   x = 1,813,354,472.25/19,853
6. Step 6: Final answer
   x = 91,339.07