Finding the Third Proportional to 42,907.50 and 65,638.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,907.50 : 65,638.25 = 65,638.25 : x
2. Step 2: Convert to fraction form
   42,907.50/65,638.25 = 65,638.25/x
3. Step 3: Cross multiply
   42,907.50x = 65,638.25 × 65,638.25
4. Step 4: Simplify right side
   42,907.50x = 4,308,379,863.06
5. Step 5: Solve for x
   x = 4,308,379,863.06/42,907.50
6. Step 6: Final answer
   x = 100,410.88