Finding the Third Proportional to 42,978 and 65,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,978 : 65,702.50 = 65,702.50 : x
2. Step 2: Convert to fraction form
   42,978/65,702.50 = 65,702.50/x
3. Step 3: Cross multiply
   42,978x = 65,702.50 × 65,702.50
4. Step 4: Simplify right side
   42,978x = 4,316,818,506.25
5. Step 5: Solve for x
   x = 4,316,818,506.25/42,978
6. Step 6: Final answer
   x = 100,442.52