Finding the Third Proportional to 42,816 and 62,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,816 : 62,578.50 = 62,578.50 : x
2. Step 2: Convert to fraction form
   42,816/62,578.50 = 62,578.50/x
3. Step 3: Cross multiply
   42,816x = 62,578.50 × 62,578.50
4. Step 4: Simplify right side
   42,816x = 3,916,068,662.25
5. Step 5: Solve for x
   x = 3,916,068,662.25/42,816
6. Step 6: Final answer
   x = 91,462.74