Finding the Third Proportional to 35,707.50 and 38,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,707.50 : 38,947.50 = 38,947.50 : x
2. Step 2: Convert to fraction form
   35,707.50/38,947.50 = 38,947.50/x
3. Step 3: Cross multiply
   35,707.50x = 38,947.50 × 38,947.50
4. Step 4: Simplify right side
   35,707.50x = 1,516,907,756.25
5. Step 5: Solve for x
   x = 1,516,907,756.25/35,707.50
6. Step 6: Final answer
   x = 42,481.49