Finding the Third Proportional to 52,947 and 75,269.25

Step by Step Solution

1. Step 1: Write the proportion equation
   52,947 : 75,269.25 = 75,269.25 : x
2. Step 2: Convert to fraction form
   52,947/75,269.25 = 75,269.25/x
3. Step 3: Cross multiply
   52,947x = 75,269.25 × 75,269.25
4. Step 4: Simplify right side
   52,947x = 5,665,459,995.56
5. Step 5: Solve for x
   x = 5,665,459,995.56/52,947
6. Step 6: Final answer
   x = 107,002.47