Finding the Third Proportional to 41,688 and 85,076

Step by Step Solution

1. Step 1: Write the proportion equation
   41,688 : 85,076 = 85,076 : x
2. Step 2: Convert to fraction form
   41,688/85,076 = 85,076/x
3. Step 3: Cross multiply
   41,688x = 85,076 × 85,076
4. Step 4: Simplify right side
   41,688x = 7,237,925,776
5. Step 5: Solve for x
   x = 7,237,925,776/41,688
6. Step 6: Final answer
   x = 173,621.32