Finding the Third Proportional to 42,406.50 and 65,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,406.50 : 65,446.50 = 65,446.50 : x
2. Step 2: Convert to fraction form
   42,406.50/65,446.50 = 65,446.50/x
3. Step 3: Cross multiply
   42,406.50x = 65,446.50 × 65,446.50
4. Step 4: Simplify right side
   42,406.50x = 4,283,244,362.25
5. Step 5: Solve for x
   x = 4,283,244,362.25/42,406.50
6. Step 6: Final answer
   x = 101,004.43