Finding the Third Proportional to 29,576 and 64,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,576 : 64,615.50 = 64,615.50 : x
2. Step 2: Convert to fraction form
   29,576/64,615.50 = 64,615.50/x
3. Step 3: Cross multiply
   29,576x = 64,615.50 × 64,615.50
4. Step 4: Simplify right side
   29,576x = 4,175,162,840.25
5. Step 5: Solve for x
   x = 4,175,162,840.25/29,576
6. Step 6: Final answer
   x = 141,167.26