Finding the Third Proportional to 31,820 and 43,194

Step by Step Solution

1. Step 1: Write the proportion equation
   31,820 : 43,194 = 43,194 : x
2. Step 2: Convert to fraction form
   31,820/43,194 = 43,194/x
3. Step 3: Cross multiply
   31,820x = 43,194 × 43,194
4. Step 4: Simplify right side
   31,820x = 1,865,721,636
5. Step 5: Solve for x
   x = 1,865,721,636/31,820
6. Step 6: Final answer
   x = 58,633.62