Finding the Third Proportional to 49,502 and 65,641

Step by Step Solution

1. Step 1: Write the proportion equation
   49,502 : 65,641 = 65,641 : x
2. Step 2: Convert to fraction form
   49,502/65,641 = 65,641/x
3. Step 3: Cross multiply
   49,502x = 65,641 × 65,641
4. Step 4: Simplify right side
   49,502x = 4,308,740,881
5. Step 5: Solve for x
   x = 4,308,740,881/49,502
6. Step 6: Final answer
   x = 87,041.75