Finding the Third Proportional to 32,953.50 and 35,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,953.50 : 35,707.50 = 35,707.50 : x
2. Step 2: Convert to fraction form
   32,953.50/35,707.50 = 35,707.50/x
3. Step 3: Cross multiply
   32,953.50x = 35,707.50 × 35,707.50
4. Step 4: Simplify right side
   32,953.50x = 1,275,025,556.25
5. Step 5: Solve for x
   x = 1,275,025,556.25/32,953.50
6. Step 6: Final answer
   x = 38,691.66