Finding the Third Proportional to 9,047.50 and 19,642

Step by Step Solution

1. Step 1: Write the proportion equation
   9,047.50 : 19,642 = 19,642 : x
2. Step 2: Convert to fraction form
   9,047.50/19,642 = 19,642/x
3. Step 3: Cross multiply
   9,047.50x = 19,642 × 19,642
4. Step 4: Simplify right side
   9,047.50x = 385,808,164
5. Step 5: Solve for x
   x = 385,808,164/9,047.50
6. Step 6: Final answer
   x = 42,642.52