Finding the Third Proportional to 31,588 and 68,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,588 : 68,096.50 = 68,096.50 : x
2. Step 2: Convert to fraction form
   31,588/68,096.50 = 68,096.50/x
3. Step 3: Cross multiply
   31,588x = 68,096.50 × 68,096.50
4. Step 4: Simplify right side
   31,588x = 4,637,133,312.25
5. Step 5: Solve for x
   x = 4,637,133,312.25/31,588
6. Step 6: Final answer
   x = 146,800.47