Finding the Third Proportional to 37,272 and 57,206

Step by Step Solution

1. Step 1: Write the proportion equation
   37,272 : 57,206 = 57,206 : x
2. Step 2: Convert to fraction form
   37,272/57,206 = 57,206/x
3. Step 3: Cross multiply
   37,272x = 57,206 × 57,206
4. Step 4: Simplify right side
   37,272x = 3,272,526,436
5. Step 5: Solve for x
   x = 3,272,526,436/37,272
6. Step 6: Final answer
   x = 87,801.20