Finding the Third Proportional to 32,355 and 45,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,355 : 45,670.50 = 45,670.50 : x
2. Step 2: Convert to fraction form
   32,355/45,670.50 = 45,670.50/x
3. Step 3: Cross multiply
   32,355x = 45,670.50 × 45,670.50
4. Step 4: Simplify right side
   32,355x = 2,085,794,570.25
5. Step 5: Solve for x
   x = 2,085,794,570.25/32,355
6. Step 6: Final answer
   x = 64,465.91