Finding the Third Proportional to 48,069 and 71,705

Step by Step Solution

1. Step 1: Write the proportion equation
   48,069 : 71,705 = 71,705 : x
2. Step 2: Convert to fraction form
   48,069/71,705 = 71,705/x
3. Step 3: Cross multiply
   48,069x = 71,705 × 71,705
4. Step 4: Simplify right side
   48,069x = 5,141,607,025
5. Step 5: Solve for x
   x = 5,141,607,025/48,069
6. Step 6: Final answer
   x = 106,963.05