Finding the Third Proportional to 42,594 and 65,886

Step by Step Solution

1. Step 1: Write the proportion equation
   42,594 : 65,886 = 65,886 : x
2. Step 2: Convert to fraction form
   42,594/65,886 = 65,886/x
3. Step 3: Cross multiply
   42,594x = 65,886 × 65,886
4. Step 4: Simplify right side
   42,594x = 4,340,964,996
5. Step 5: Solve for x
   x = 4,340,964,996/42,594
6. Step 6: Final answer
   x = 101,914.94