Finding the Third Proportional to 30,825 and 45,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,825 : 45,139.50 = 45,139.50 : x
2. Step 2: Convert to fraction form
   30,825/45,139.50 = 45,139.50/x
3. Step 3: Cross multiply
   30,825x = 45,139.50 × 45,139.50
4. Step 4: Simplify right side
   30,825x = 2,037,574,460.25
5. Step 5: Solve for x
   x = 2,037,574,460.25/30,825
6. Step 6: Final answer
   x = 66,101.36