Finding the Third Proportional to 34,364 and 73,813

Step by Step Solution

1. Step 1: Write the proportion equation
   34,364 : 73,813 = 73,813 : x
2. Step 2: Convert to fraction form
   34,364/73,813 = 73,813/x
3. Step 3: Cross multiply
   34,364x = 73,813 × 73,813
4. Step 4: Simplify right side
   34,364x = 5,448,358,969
5. Step 5: Solve for x
   x = 5,448,358,969/34,364
6. Step 6: Final answer
   x = 158,548.45