Finding the Third Proportional to 4,899 and 7,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,899 : 7,675.50 = 7,675.50 : x
2. Step 2: Convert to fraction form
   4,899/7,675.50 = 7,675.50/x
3. Step 3: Cross multiply
   4,899x = 7,675.50 × 7,675.50
4. Step 4: Simplify right side
   4,899x = 58,913,300.25
5. Step 5: Solve for x
   x = 58,913,300.25/4,899
6. Step 6: Final answer
   x = 12,025.58