Finding the Third Proportional to 41,238 and 64,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,238 : 64,012.50 = 64,012.50 : x
2. Step 2: Convert to fraction form
   41,238/64,012.50 = 64,012.50/x
3. Step 3: Cross multiply
   41,238x = 64,012.50 × 64,012.50
4. Step 4: Simplify right side
   41,238x = 4,097,600,156.25
5. Step 5: Solve for x
   x = 4,097,600,156.25/41,238
6. Step 6: Final answer
   x = 99,364.67