Finding the Third Proportional to 42,204.38 and 64,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,204.38 : 64,378.50 = 64,378.50 : x
2. Step 2: Convert to fraction form
   42,204.38/64,378.50 = 64,378.50/x
3. Step 3: Cross multiply
   42,204.38x = 64,378.50 × 64,378.50
4. Step 4: Simplify right side
   42,204.38x = 4,144,591,262.25
5. Step 5: Solve for x
   x = 4,144,591,262.25/42,204.38
6. Step 6: Final answer
   x = 98,202.88