Finding the Third Proportional to 37,026 and 57,349

Step by Step Solution

1. Step 1: Write the proportion equation
   37,026 : 57,349 = 57,349 : x
2. Step 2: Convert to fraction form
   37,026/57,349 = 57,349/x
3. Step 3: Cross multiply
   37,026x = 57,349 × 57,349
4. Step 4: Simplify right side
   37,026x = 3,288,907,801
5. Step 5: Solve for x
   x = 3,288,907,801/37,026
6. Step 6: Final answer
   x = 88,826.98