Finding the Third Proportional to 31,188 and 68,598

Step by Step Solution

1. Step 1: Write the proportion equation
   31,188 : 68,598 = 68,598 : x
2. Step 2: Convert to fraction form
   31,188/68,598 = 68,598/x
3. Step 3: Cross multiply
   31,188x = 68,598 × 68,598
4. Step 4: Simplify right side
   31,188x = 4,705,685,604
5. Step 5: Solve for x
   x = 4,705,685,604/31,188
6. Step 6: Final answer
   x = 150,881.29