Finding the Third Proportional to 37,206 and 55,893.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,206 : 55,893.38 = 55,893.38 : x
2. Step 2: Convert to fraction form
   37,206/55,893.38 = 55,893.38/x
3. Step 3: Cross multiply
   37,206x = 55,893.38 × 55,893.38
4. Step 4: Simplify right side
   37,206x = 3,124,069,368.89
5. Step 5: Solve for x
   x = 3,124,069,368.89/37,206
6. Step 6: Final answer
   x = 83,966.82