Finding the Third Proportional to 37,114 and 55,669

Step by Step Solution

1. Step 1: Write the proportion equation
   37,114 : 55,669 = 55,669 : x
2. Step 2: Convert to fraction form
   37,114/55,669 = 55,669/x
3. Step 3: Cross multiply
   37,114x = 55,669 × 55,669
4. Step 4: Simplify right side
   37,114x = 3,099,037,561
5. Step 5: Solve for x
   x = 3,099,037,561/37,114
6. Step 6: Final answer
   x = 83,500.50