Finding the Third Proportional to 42,092 and 64,617

Step by Step Solution

1. Step 1: Write the proportion equation
   42,092 : 64,617 = 64,617 : x
2. Step 2: Convert to fraction form
   42,092/64,617 = 64,617/x
3. Step 3: Cross multiply
   42,092x = 64,617 × 64,617
4. Step 4: Simplify right side
   42,092x = 4,175,356,689
5. Step 5: Solve for x
   x = 4,175,356,689/42,092
6. Step 6: Final answer
   x = 99,195.97