Finding the Third Proportional to 42,988 and 65,754

Step by Step Solution

1. Step 1: Write the proportion equation
   42,988 : 65,754 = 65,754 : x
2. Step 2: Convert to fraction form
   42,988/65,754 = 65,754/x
3. Step 3: Cross multiply
   42,988x = 65,754 × 65,754
4. Step 4: Simplify right side
   42,988x = 4,323,588,516
5. Step 5: Solve for x
   x = 4,323,588,516/42,988
6. Step 6: Final answer
   x = 100,576.64