Finding the Third Proportional to 42,126 and 65,709

Step by Step Solution

1. Step 1: Write the proportion equation
   42,126 : 65,709 = 65,709 : x
2. Step 2: Convert to fraction form
   42,126/65,709 = 65,709/x
3. Step 3: Cross multiply
   42,126x = 65,709 × 65,709
4. Step 4: Simplify right side
   42,126x = 4,317,672,681
5. Step 5: Solve for x
   x = 4,317,672,681/42,126
6. Step 6: Final answer
   x = 102,494.25