Finding the Third Proportional to 31,358 and 67,830

Step by Step Solution

1. Step 1: Write the proportion equation
   31,358 : 67,830 = 67,830 : x
2. Step 2: Convert to fraction form
   31,358/67,830 = 67,830/x
3. Step 3: Cross multiply
   31,358x = 67,830 × 67,830
4. Step 4: Simplify right side
   31,358x = 4,600,908,900
5. Step 5: Solve for x
   x = 4,600,908,900/31,358
6. Step 6: Final answer
   x = 146,722.01