Finding the Third Proportional to 35,238 and 54,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,238 : 54,598.50 = 54,598.50 : x
2. Step 2: Convert to fraction form
   35,238/54,598.50 = 54,598.50/x
3. Step 3: Cross multiply
   35,238x = 54,598.50 × 54,598.50
4. Step 4: Simplify right side
   35,238x = 2,980,996,202.25
5. Step 5: Solve for x
   x = 2,980,996,202.25/35,238
6. Step 6: Final answer
   x = 84,596.07