Finding the Third Proportional to 42,396 and 65,688

Step by Step Solution

1. Step 1: Write the proportion equation
   42,396 : 65,688 = 65,688 : x
2. Step 2: Convert to fraction form
   42,396/65,688 = 65,688/x
3. Step 3: Cross multiply
   42,396x = 65,688 × 65,688
4. Step 4: Simplify right side
   42,396x = 4,314,913,344
5. Step 5: Solve for x
   x = 4,314,913,344/42,396
6. Step 6: Final answer
   x = 101,776.43