Finding the Third Proportional to 39,281 and 83,111

Step by Step Solution

1. Step 1: Write the proportion equation
   39,281 : 83,111 = 83,111 : x
2. Step 2: Convert to fraction form
   39,281/83,111 = 83,111/x
3. Step 3: Cross multiply
   39,281x = 83,111 × 83,111
4. Step 4: Simplify right side
   39,281x = 6,907,438,321
5. Step 5: Solve for x
   x = 6,907,438,321/39,281
6. Step 6: Final answer
   x = 175,846.80