Finding the Third Proportional to 41,694 and 64,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,694 : 64,657.50 = 64,657.50 : x
2. Step 2: Convert to fraction form
   41,694/64,657.50 = 64,657.50/x
3. Step 3: Cross multiply
   41,694x = 64,657.50 × 64,657.50
4. Step 4: Simplify right side
   41,694x = 4,180,592,306.25
5. Step 5: Solve for x
   x = 4,180,592,306.25/41,694
6. Step 6: Final answer
   x = 100,268.44