Finding the Third Proportional to 42,384 and 64,716

Step by Step Solution

1. Step 1: Write the proportion equation
   42,384 : 64,716 = 64,716 : x
2. Step 2: Convert to fraction form
   42,384/64,716 = 64,716/x
3. Step 3: Cross multiply
   42,384x = 64,716 × 64,716
4. Step 4: Simplify right side
   42,384x = 4,188,160,656
5. Step 5: Solve for x
   x = 4,188,160,656/42,384
6. Step 6: Final answer
   x = 98,814.66