Finding the Third Proportional to 29,564.50 and 35,032

Step by Step Solution

1. Step 1: Write the proportion equation
   29,564.50 : 35,032 = 35,032 : x
2. Step 2: Convert to fraction form
   29,564.50/35,032 = 35,032/x
3. Step 3: Cross multiply
   29,564.50x = 35,032 × 35,032
4. Step 4: Simplify right side
   29,564.50x = 1,227,241,024
5. Step 5: Solve for x
   x = 1,227,241,024/29,564.50
6. Step 6: Final answer
   x = 41,510.63