Finding the Third Proportional to 19,438 and 40,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,438 : 40,102.50 = 40,102.50 : x
2. Step 2: Convert to fraction form
   19,438/40,102.50 = 40,102.50/x
3. Step 3: Cross multiply
   19,438x = 40,102.50 × 40,102.50
4. Step 4: Simplify right side
   19,438x = 1,608,210,506.25
5. Step 5: Solve for x
   x = 1,608,210,506.25/19,438
6. Step 6: Final answer
   x = 82,735.39