Finding the Third Proportional to 56,364 and 82,914

Step by Step Solution

1. Step 1: Write the proportion equation
   56,364 : 82,914 = 82,914 : x
2. Step 2: Convert to fraction form
   56,364/82,914 = 82,914/x
3. Step 3: Cross multiply
   56,364x = 82,914 × 82,914
4. Step 4: Simplify right side
   56,364x = 6,874,731,396
5. Step 5: Solve for x
   x = 6,874,731,396/56,364
6. Step 6: Final answer
   x = 121,970.25