Finding the Third Proportional to 37,897 and 56,109

Step by Step Solution

1. Step 1: Write the proportion equation
   37,897 : 56,109 = 56,109 : x
2. Step 2: Convert to fraction form
   37,897/56,109 = 56,109/x
3. Step 3: Cross multiply
   37,897x = 56,109 × 56,109
4. Step 4: Simplify right side
   37,897x = 3,148,219,881
5. Step 5: Solve for x
   x = 3,148,219,881/37,897
6. Step 6: Final answer
   x = 83,073.06