Finding the Third Proportional to 42,194 and 64,749

Step by Step Solution

1. Step 1: Write the proportion equation
   42,194 : 64,749 = 64,749 : x
2. Step 2: Convert to fraction form
   42,194/64,749 = 64,749/x
3. Step 3: Cross multiply
   42,194x = 64,749 × 64,749
4. Step 4: Simplify right side
   42,194x = 4,192,433,001
5. Step 5: Solve for x
   x = 4,192,433,001/42,194
6. Step 6: Final answer
   x = 99,360.88