Finding the Third Proportional to 31,606.50 and 46,242

Step by Step Solution

1. Step 1: Write the proportion equation
   31,606.50 : 46,242 = 46,242 : x
2. Step 2: Convert to fraction form
   31,606.50/46,242 = 46,242/x
3. Step 3: Cross multiply
   31,606.50x = 46,242 × 46,242
4. Step 4: Simplify right side
   31,606.50x = 2,138,322,564
5. Step 5: Solve for x
   x = 2,138,322,564/31,606.50
6. Step 6: Final answer
   x = 67,654.52