Finding the Third Proportional to 9,000 and 19,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,000 : 19,642.50 = 19,642.50 : x
2. Step 2: Convert to fraction form
   9,000/19,642.50 = 19,642.50/x
3. Step 3: Cross multiply
   9,000x = 19,642.50 × 19,642.50
4. Step 4: Simplify right side
   9,000x = 385,827,806.25
5. Step 5: Solve for x
   x = 385,827,806.25/9,000
6. Step 6: Final answer
   x = 42,869.76