Finding the Third Proportional to 31,662 and 68,594.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,662 : 68,594.63 = 68,594.63 : x
2. Step 2: Convert to fraction form
   31,662/68,594.63 = 68,594.63/x
3. Step 3: Cross multiply
   31,662x = 68,594.63 × 68,594.63
4. Step 4: Simplify right side
   31,662x = 4,705,222,578.89
5. Step 5: Solve for x
   x = 4,705,222,578.89/31,662
6. Step 6: Final answer
   x = 148,607.88