Finding the Third Proportional to 35,787 and 71,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,787 : 71,570.50 = 71,570.50 : x
2. Step 2: Convert to fraction form
   35,787/71,570.50 = 71,570.50/x
3. Step 3: Cross multiply
   35,787x = 71,570.50 × 71,570.50
4. Step 4: Simplify right side
   35,787x = 5,122,336,470.25
5. Step 5: Solve for x
   x = 5,122,336,470.25/35,787
6. Step 6: Final answer
   x = 143,134.00