Finding the Third Proportional to 53,364 and 83,709

Step by Step Solution

1. Step 1: Write the proportion equation
   53,364 : 83,709 = 83,709 : x
2. Step 2: Convert to fraction form
   53,364/83,709 = 83,709/x
3. Step 3: Cross multiply
   53,364x = 83,709 × 83,709
4. Step 4: Simplify right side
   53,364x = 7,007,196,681
5. Step 5: Solve for x
   x = 7,007,196,681/53,364
6. Step 6: Final answer
   x = 131,309.43