Finding the Third Proportional to 40,553 and 86,710

Step by Step Solution

1. Step 1: Write the proportion equation
   40,553 : 86,710 = 86,710 : x
2. Step 2: Convert to fraction form
   40,553/86,710 = 86,710/x
3. Step 3: Cross multiply
   40,553x = 86,710 × 86,710
4. Step 4: Simplify right side
   40,553x = 7,518,624,100
5. Step 5: Solve for x
   x = 7,518,624,100/40,553
6. Step 6: Final answer
   x = 185,402.41