Finding the Third Proportional to 42,205 and 64,379.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,205 : 64,379.25 = 64,379.25 : x
2. Step 2: Convert to fraction form
   42,205/64,379.25 = 64,379.25/x
3. Step 3: Cross multiply
   42,205x = 64,379.25 × 64,379.25
4. Step 4: Simplify right side
   42,205x = 4,144,687,830.56
5. Step 5: Solve for x
   x = 4,144,687,830.56/42,205
6. Step 6: Final answer
   x = 98,203.72