Finding the Third Proportional to 30,210.50 and 64,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,210.50 : 64,796.50 = 64,796.50 : x
2. Step 2: Convert to fraction form
   30,210.50/64,796.50 = 64,796.50/x
3. Step 3: Cross multiply
   30,210.50x = 64,796.50 × 64,796.50
4. Step 4: Simplify right side
   30,210.50x = 4,198,586,412.25
5. Step 5: Solve for x
   x = 4,198,586,412.25/30,210.50
6. Step 6: Final answer
   x = 138,977.72