Finding the Third Proportional to 35,538 and 55,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,538 : 55,027.50 = 55,027.50 : x
2. Step 2: Convert to fraction form
   35,538/55,027.50 = 55,027.50/x
3. Step 3: Cross multiply
   35,538x = 55,027.50 × 55,027.50
4. Step 4: Simplify right side
   35,538x = 3,028,025,756.25
5. Step 5: Solve for x
   x = 3,028,025,756.25/35,538
6. Step 6: Final answer
   x = 85,205.29