Finding the Third Proportional to 19,428 and 41,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,428 : 41,686.50 = 41,686.50 : x
2. Step 2: Convert to fraction form
   19,428/41,686.50 = 41,686.50/x
3. Step 3: Cross multiply
   19,428x = 41,686.50 × 41,686.50
4. Step 4: Simplify right side
   19,428x = 1,737,764,282.25
5. Step 5: Solve for x
   x = 1,737,764,282.25/19,428
6. Step 6: Final answer
   x = 89,446.38