Finding the Third Proportional to 31,588 and 68,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,588 : 68,096.25 = 68,096.25 : x
2. Step 2: Convert to fraction form
   31,588/68,096.25 = 68,096.25/x
3. Step 3: Cross multiply
   31,588x = 68,096.25 × 68,096.25
4. Step 4: Simplify right side
   31,588x = 4,637,099,264.06
5. Step 5: Solve for x
   x = 4,637,099,264.06/31,588
6. Step 6: Final answer
   x = 146,799.39