Finding the Third Proportional to 31,164.75 and 81,830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,164.75 : 81,830.25 = 81,830.25 : x
2. Step 2: Convert to fraction form
   31,164.75/81,830.25 = 81,830.25/x
3. Step 3: Cross multiply
   31,164.75x = 81,830.25 × 81,830.25
4. Step 4: Simplify right side
   31,164.75x = 6,696,189,815.06
5. Step 5: Solve for x
   x = 6,696,189,815.06/31,164.75
6. Step 6: Final answer
   x = 214,864.22