Finding the Third Proportional to 37,644 and 55,053

Step by Step Solution

1. Step 1: Write the proportion equation
   37,644 : 55,053 = 55,053 : x
2. Step 2: Convert to fraction form
   37,644/55,053 = 55,053/x
3. Step 3: Cross multiply
   37,644x = 55,053 × 55,053
4. Step 4: Simplify right side
   37,644x = 3,030,832,809
5. Step 5: Solve for x
   x = 3,030,832,809/37,644
6. Step 6: Final answer
   x = 80,513.04