Finding the Third Proportional to 41,853 and 64,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,853 : 64,624.50 = 64,624.50 : x
2. Step 2: Convert to fraction form
   41,853/64,624.50 = 64,624.50/x
3. Step 3: Cross multiply
   41,853x = 64,624.50 × 64,624.50
4. Step 4: Simplify right side
   41,853x = 4,176,326,000.25
5. Step 5: Solve for x
   x = 4,176,326,000.25/41,853
6. Step 6: Final answer
   x = 99,785.58