Finding the Third Proportional to 41,600 and 64,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,600 : 64,537.50 = 64,537.50 : x
2. Step 2: Convert to fraction form
   41,600/64,537.50 = 64,537.50/x
3. Step 3: Cross multiply
   41,600x = 64,537.50 × 64,537.50
4. Step 4: Simplify right side
   41,600x = 4,165,088,906.25
5. Step 5: Solve for x
   x = 4,165,088,906.25/41,600
6. Step 6: Final answer
   x = 100,122.33