Finding the Third Proportional to 19,857 and 42,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,857 : 42,598.50 = 42,598.50 : x
2. Step 2: Convert to fraction form
   19,857/42,598.50 = 42,598.50/x
3. Step 3: Cross multiply
   19,857x = 42,598.50 × 42,598.50
4. Step 4: Simplify right side
   19,857x = 1,814,632,202.25
5. Step 5: Solve for x
   x = 1,814,632,202.25/19,857
6. Step 6: Final answer
   x = 91,385.01