Finding the Third Proportional to 35,788 and 71,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,788 : 71,572.50 = 71,572.50 : x
2. Step 2: Convert to fraction form
   35,788/71,572.50 = 71,572.50/x
3. Step 3: Cross multiply
   35,788x = 71,572.50 × 71,572.50
4. Step 4: Simplify right side
   35,788x = 5,122,622,756.25
5. Step 5: Solve for x
   x = 5,122,622,756.25/35,788
6. Step 6: Final answer
   x = 143,138.00