Finding the Third Proportional to 37,206 and 55,892.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,206 : 55,892.25 = 55,892.25 : x
2. Step 2: Convert to fraction form
   37,206/55,892.25 = 55,892.25/x
3. Step 3: Cross multiply
   37,206x = 55,892.25 × 55,892.25
4. Step 4: Simplify right side
   37,206x = 3,123,943,610.06
5. Step 5: Solve for x
   x = 3,123,943,610.06/37,206
6. Step 6: Final answer
   x = 83,963.44