Finding the Third Proportional to 33,897 and 51,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,897 : 51,853.50 = 51,853.50 : x
2. Step 2: Convert to fraction form
   33,897/51,853.50 = 51,853.50/x
3. Step 3: Cross multiply
   33,897x = 51,853.50 × 51,853.50
4. Step 4: Simplify right side
   33,897x = 2,688,785,462.25
5. Step 5: Solve for x
   x = 2,688,785,462.25/33,897
6. Step 6: Final answer
   x = 79,322.23