Finding the Third Proportional to 31,731 and 46,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,731 : 46,672.50 = 46,672.50 : x
2. Step 2: Convert to fraction form
   31,731/46,672.50 = 46,672.50/x
3. Step 3: Cross multiply
   31,731x = 46,672.50 × 46,672.50
4. Step 4: Simplify right side
   31,731x = 2,178,322,256.25
5. Step 5: Solve for x
   x = 2,178,322,256.25/31,731
6. Step 6: Final answer
   x = 68,649.66