Finding the Third Proportional to 7,690.50 and 18,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,690.50 : 18,148.50 = 18,148.50 : x
2. Step 2: Convert to fraction form
   7,690.50/18,148.50 = 18,148.50/x
3. Step 3: Cross multiply
   7,690.50x = 18,148.50 × 18,148.50
4. Step 4: Simplify right side
   7,690.50x = 329,368,052.25
5. Step 5: Solve for x
   x = 329,368,052.25/7,690.50
6. Step 6: Final answer
   x = 42,827.91