Finding the Third Proportional to 5,026.50 and 7,643.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,026.50 : 7,643.75 = 7,643.75 : x
2. Step 2: Convert to fraction form
   5,026.50/7,643.75 = 7,643.75/x
3. Step 3: Cross multiply
   5,026.50x = 7,643.75 × 7,643.75
4. Step 4: Simplify right side
   5,026.50x = 58,426,914.06
5. Step 5: Solve for x
   x = 58,426,914.06/5,026.50
6. Step 6: Final answer
   x = 11,623.78