Finding the Third Proportional to 41,784 and 64,730.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,784 : 64,730.50 = 64,730.50 : x
2. Step 2: Convert to fraction form
   41,784/64,730.50 = 64,730.50/x
3. Step 3: Cross multiply
   41,784x = 64,730.50 × 64,730.50
4. Step 4: Simplify right side
   41,784x = 4,190,037,630.25
5. Step 5: Solve for x
   x = 4,190,037,630.25/41,784
6. Step 6: Final answer
   x = 100,278.52