Finding the Third Proportional to 29,203.50 and 31,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,203.50 : 31,633.50 = 31,633.50 : x
2. Step 2: Convert to fraction form
   29,203.50/31,633.50 = 31,633.50/x
3. Step 3: Cross multiply
   29,203.50x = 31,633.50 × 31,633.50
4. Step 4: Simplify right side
   29,203.50x = 1,000,678,322.25
5. Step 5: Solve for x
   x = 1,000,678,322.25/29,203.50
6. Step 6: Final answer
   x = 34,265.70