Finding the Third Proportional to 46,538 and 62,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,538 : 62,424.50 = 62,424.50 : x
2. Step 2: Convert to fraction form
   46,538/62,424.50 = 62,424.50/x
3. Step 3: Cross multiply
   46,538x = 62,424.50 × 62,424.50
4. Step 4: Simplify right side
   46,538x = 3,896,818,200.25
5. Step 5: Solve for x
   x = 3,896,818,200.25/46,538
6. Step 6: Final answer
   x = 83,734.11