Finding the Third Proportional to 20,814 and 45,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,814 : 45,322.50 = 45,322.50 : x
2. Step 2: Convert to fraction form
   20,814/45,322.50 = 45,322.50/x
3. Step 3: Cross multiply
   20,814x = 45,322.50 × 45,322.50
4. Step 4: Simplify right side
   20,814x = 2,054,129,006.25
5. Step 5: Solve for x
   x = 2,054,129,006.25/20,814
6. Step 6: Final answer
   x = 98,689.78