Finding the Third Proportional to 37,410 and 55,779

Step by Step Solution

1. Step 1: Write the proportion equation
   37,410 : 55,779 = 55,779 : x
2. Step 2: Convert to fraction form
   37,410/55,779 = 55,779/x
3. Step 3: Cross multiply
   37,410x = 55,779 × 55,779
4. Step 4: Simplify right side
   37,410x = 3,111,296,841
5. Step 5: Solve for x
   x = 3,111,296,841/37,410
6. Step 6: Final answer
   x = 83,167.52