Finding the Third Proportional to 34,652 and 83,786

Step by Step Solution

1. Step 1: Write the proportion equation
   34,652 : 83,786 = 83,786 : x
2. Step 2: Convert to fraction form
   34,652/83,786 = 83,786/x
3. Step 3: Cross multiply
   34,652x = 83,786 × 83,786
4. Step 4: Simplify right side
   34,652x = 7,020,093,796
5. Step 5: Solve for x
   x = 7,020,093,796/34,652
6. Step 6: Final answer
   x = 202,588.42