Finding the Third Proportional to 42,078 and 63,225

Step by Step Solution

1. Step 1: Write the proportion equation
   42,078 : 63,225 = 63,225 : x
2. Step 2: Convert to fraction form
   42,078/63,225 = 63,225/x
3. Step 3: Cross multiply
   42,078x = 63,225 × 63,225
4. Step 4: Simplify right side
   42,078x = 3,997,400,625
5. Step 5: Solve for x
   x = 3,997,400,625/42,078
6. Step 6: Final answer
   x = 94,999.78