Finding the Third Proportional to 31,353.50 and 67,820

Step by Step Solution

1. Step 1: Write the proportion equation
   31,353.50 : 67,820 = 67,820 : x
2. Step 2: Convert to fraction form
   31,353.50/67,820 = 67,820/x
3. Step 3: Cross multiply
   31,353.50x = 67,820 × 67,820
4. Step 4: Simplify right side
   31,353.50x = 4,599,552,400
5. Step 5: Solve for x
   x = 4,599,552,400/31,353.50
6. Step 6: Final answer
   x = 146,699.81