Finding the Third Proportional to 82,407 and 94,071

Step by Step Solution

1. Step 1: Write the proportion equation
   82,407 : 94,071 = 94,071 : x
2. Step 2: Convert to fraction form
   82,407/94,071 = 94,071/x
3. Step 3: Cross multiply
   82,407x = 94,071 × 94,071
4. Step 4: Simplify right side
   82,407x = 8,849,353,041
5. Step 5: Solve for x
   x = 8,849,353,041/82,407
6. Step 6: Final answer
   x = 107,385.94