Finding the Third Proportional to 9,766.50 and 19,047

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.50 : 19,047 = 19,047 : x
2. Step 2: Convert to fraction form
   9,766.50/19,047 = 19,047/x
3. Step 3: Cross multiply
   9,766.50x = 19,047 × 19,047
4. Step 4: Simplify right side
   9,766.50x = 362,788,209
5. Step 5: Solve for x
   x = 362,788,209/9,766.50
6. Step 6: Final answer
   x = 37,146.18