Finding the Third Proportional to 37,648 and 55,433

Step by Step Solution

1. Step 1: Write the proportion equation
   37,648 : 55,433 = 55,433 : x
2. Step 2: Convert to fraction form
   37,648/55,433 = 55,433/x
3. Step 3: Cross multiply
   37,648x = 55,433 × 55,433
4. Step 4: Simplify right side
   37,648x = 3,072,817,489
5. Step 5: Solve for x
   x = 3,072,817,489/37,648
6. Step 6: Final answer
   x = 81,619.67