Finding the Third Proportional to 18,802 and 41,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,802 : 41,322.50 = 41,322.50 : x
2. Step 2: Convert to fraction form
   18,802/41,322.50 = 41,322.50/x
3. Step 3: Cross multiply
   18,802x = 41,322.50 × 41,322.50
4. Step 4: Simplify right side
   18,802x = 1,707,549,006.25
5. Step 5: Solve for x
   x = 1,707,549,006.25/18,802
6. Step 6: Final answer
   x = 90,817.41