Finding the Third Proportional to 43,688 and 65,461

Step by Step Solution

1. Step 1: Write the proportion equation
   43,688 : 65,461 = 65,461 : x
2. Step 2: Convert to fraction form
   43,688/65,461 = 65,461/x
3. Step 3: Cross multiply
   43,688x = 65,461 × 65,461
4. Step 4: Simplify right side
   43,688x = 4,285,142,521
5. Step 5: Solve for x
   x = 4,285,142,521/43,688
6. Step 6: Final answer
   x = 98,085.12