Finding the Third Proportional to 35,764.50 and 42,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,764.50 : 42,352.50 = 42,352.50 : x
2. Step 2: Convert to fraction form
   35,764.50/42,352.50 = 42,352.50/x
3. Step 3: Cross multiply
   35,764.50x = 42,352.50 × 42,352.50
4. Step 4: Simplify right side
   35,764.50x = 1,793,734,256.25
5. Step 5: Solve for x
   x = 1,793,734,256.25/35,764.50
6. Step 6: Final answer
   x = 50,154.04