Finding the Third Proportional to 17,509.50 and 38,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,509.50 : 38,947.50 = 38,947.50 : x
2. Step 2: Convert to fraction form
   17,509.50/38,947.50 = 38,947.50/x
3. Step 3: Cross multiply
   17,509.50x = 38,947.50 × 38,947.50
4. Step 4: Simplify right side
   17,509.50x = 1,516,907,756.25
5. Step 5: Solve for x
   x = 1,516,907,756.25/17,509.50
6. Step 6: Final answer
   x = 86,633.41