Finding the Third Proportional to 42,945 and 66,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,945 : 66,046.50 = 66,046.50 : x
2. Step 2: Convert to fraction form
   42,945/66,046.50 = 66,046.50/x
3. Step 3: Cross multiply
   42,945x = 66,046.50 × 66,046.50
4. Step 4: Simplify right side
   42,945x = 4,362,140,162.25
5. Step 5: Solve for x
   x = 4,362,140,162.25/42,945
6. Step 6: Final answer
   x = 101,575.04