Finding the Third Proportional to 41,838 and 63,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,838 : 63,736.50 = 63,736.50 : x
2. Step 2: Convert to fraction form
   41,838/63,736.50 = 63,736.50/x
3. Step 3: Cross multiply
   41,838x = 63,736.50 × 63,736.50
4. Step 4: Simplify right side
   41,838x = 4,062,341,432.25
5. Step 5: Solve for x
   x = 4,062,341,432.25/41,838
6. Step 6: Final answer
   x = 97,096.93