Finding the Third Proportional to 17,869.50 and 25,643.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,869.50 : 25,643.75 = 25,643.75 : x
2. Step 2: Convert to fraction form
   17,869.50/25,643.75 = 25,643.75/x
3. Step 3: Cross multiply
   17,869.50x = 25,643.75 × 25,643.75
4. Step 4: Simplify right side
   17,869.50x = 657,601,914.06
5. Step 5: Solve for x
   x = 657,601,914.06/17,869.50
6. Step 6: Final answer
   x = 36,800.24