Finding the Third Proportional to 42,702 and 64,191

Step by Step Solution

1. Step 1: Write the proportion equation
   42,702 : 64,191 = 64,191 : x
2. Step 2: Convert to fraction form
   42,702/64,191 = 64,191/x
3. Step 3: Cross multiply
   42,702x = 64,191 × 64,191
4. Step 4: Simplify right side
   42,702x = 4,120,484,481
5. Step 5: Solve for x
   x = 4,120,484,481/42,702
6. Step 6: Final answer
   x = 96,493.95