Finding the Third Proportional to 30,005.25 and 64,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,005.25 : 64,822.50 = 64,822.50 : x
2. Step 2: Convert to fraction form
   30,005.25/64,822.50 = 64,822.50/x
3. Step 3: Cross multiply
   30,005.25x = 64,822.50 × 64,822.50
4. Step 4: Simplify right side
   30,005.25x = 4,201,956,506.25
5. Step 5: Solve for x
   x = 4,201,956,506.25/30,005.25
6. Step 6: Final answer
   x = 140,040.71