Finding the Third Proportional to 37,143 and 55,714

Step by Step Solution

1. Step 1: Write the proportion equation
   37,143 : 55,714 = 55,714 : x
2. Step 2: Convert to fraction form
   37,143/55,714 = 55,714/x
3. Step 3: Cross multiply
   37,143x = 55,714 × 55,714
4. Step 4: Simplify right side
   37,143x = 3,104,049,796
5. Step 5: Solve for x
   x = 3,104,049,796/37,143
6. Step 6: Final answer
   x = 83,570.25