Finding the Third Proportional to 42,193.50 and 65,889

Step by Step Solution

1. Step 1: Write the proportion equation
   42,193.50 : 65,889 = 65,889 : x
2. Step 2: Convert to fraction form
   42,193.50/65,889 = 65,889/x
3. Step 3: Cross multiply
   42,193.50x = 65,889 × 65,889
4. Step 4: Simplify right side
   42,193.50x = 4,341,360,321
5. Step 5: Solve for x
   x = 4,341,360,321/42,193.50
6. Step 6: Final answer
   x = 102,891.69