Finding the Third Proportional to 34,562 and 72,813

Step by Step Solution

1. Step 1: Write the proportion equation
   34,562 : 72,813 = 72,813 : x
2. Step 2: Convert to fraction form
   34,562/72,813 = 72,813/x
3. Step 3: Cross multiply
   34,562x = 72,813 × 72,813
4. Step 4: Simplify right side
   34,562x = 5,301,732,969
5. Step 5: Solve for x
   x = 5,301,732,969/34,562
6. Step 6: Final answer
   x = 153,397.75