Finding the Third Proportional to 42,384 and 62,280

Step by Step Solution

1. Step 1: Write the proportion equation
   42,384 : 62,280 = 62,280 : x
2. Step 2: Convert to fraction form
   42,384/62,280 = 62,280/x
3. Step 3: Cross multiply
   42,384x = 62,280 × 62,280
4. Step 4: Simplify right side
   42,384x = 3,878,798,400
5. Step 5: Solve for x
   x = 3,878,798,400/42,384
6. Step 6: Final answer
   x = 91,515.63