Finding the Third Proportional to 32,694 and 46,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,694 : 46,039.50 = 46,039.50 : x
2. Step 2: Convert to fraction form
   32,694/46,039.50 = 46,039.50/x
3. Step 3: Cross multiply
   32,694x = 46,039.50 × 46,039.50
4. Step 4: Simplify right side
   32,694x = 2,119,635,560.25
5. Step 5: Solve for x
   x = 2,119,635,560.25/32,694
6. Step 6: Final answer
   x = 64,832.56