Finding the Third Proportional to 35,724 and 53,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,724 : 53,908.50 = 53,908.50 : x
2. Step 2: Convert to fraction form
   35,724/53,908.50 = 53,908.50/x
3. Step 3: Cross multiply
   35,724x = 53,908.50 × 53,908.50
4. Step 4: Simplify right side
   35,724x = 2,906,126,372.25
5. Step 5: Solve for x
   x = 2,906,126,372.25/35,724
6. Step 6: Final answer
   x = 81,349.41