Finding the Third Proportional to 35,893.50 and 75,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,893.50 : 75,709.50 = 75,709.50 : x
2. Step 2: Convert to fraction form
   35,893.50/75,709.50 = 75,709.50/x
3. Step 3: Cross multiply
   35,893.50x = 75,709.50 × 75,709.50
4. Step 4: Simplify right side
   35,893.50x = 5,731,928,390.25
5. Step 5: Solve for x
   x = 5,731,928,390.25/35,893.50
6. Step 6: Final answer
   x = 159,692.66