Finding the Third Proportional to 42,978 and 65,702.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,978 : 65,702.25 = 65,702.25 : x
2. Step 2: Convert to fraction form
   42,978/65,702.25 = 65,702.25/x
3. Step 3: Cross multiply
   42,978x = 65,702.25 × 65,702.25
4. Step 4: Simplify right side
   42,978x = 4,316,785,655.06
5. Step 5: Solve for x
   x = 4,316,785,655.06/42,978
6. Step 6: Final answer
   x = 100,441.75