Finding the Third Proportional to 36,097 and 56,109

Step by Step Solution

1. Step 1: Write the proportion equation
   36,097 : 56,109 = 56,109 : x
2. Step 2: Convert to fraction form
   36,097/56,109 = 56,109/x
3. Step 3: Cross multiply
   36,097x = 56,109 × 56,109
4. Step 4: Simplify right side
   36,097x = 3,148,219,881
5. Step 5: Solve for x
   x = 3,148,219,881/36,097
6. Step 6: Final answer
   x = 87,215.55