Finding the Third Proportional to 9,111.50 and 19,658

Step by Step Solution

1. Step 1: Write the proportion equation
   9,111.50 : 19,658 = 19,658 : x
2. Step 2: Convert to fraction form
   9,111.50/19,658 = 19,658/x
3. Step 3: Cross multiply
   9,111.50x = 19,658 × 19,658
4. Step 4: Simplify right side
   9,111.50x = 386,436,964
5. Step 5: Solve for x
   x = 386,436,964/9,111.50
6. Step 6: Final answer
   x = 42,412.00