Finding the Third Proportional to 19,642.50 and 42,423

Step by Step Solution

1. Step 1: Write the proportion equation
   19,642.50 : 42,423 = 42,423 : x
2. Step 2: Convert to fraction form
   19,642.50/42,423 = 42,423/x
3. Step 3: Cross multiply
   19,642.50x = 42,423 × 42,423
4. Step 4: Simplify right side
   19,642.50x = 1,799,710,929
5. Step 5: Solve for x
   x = 1,799,710,929/19,642.50
6. Step 6: Final answer
   x = 91,623.31