Finding the Third Proportional to 29,508 and 64,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,508 : 64,942.50 = 64,942.50 : x
2. Step 2: Convert to fraction form
   29,508/64,942.50 = 64,942.50/x
3. Step 3: Cross multiply
   29,508x = 64,942.50 × 64,942.50
4. Step 4: Simplify right side
   29,508x = 4,217,528,306.25
5. Step 5: Solve for x
   x = 4,217,528,306.25/29,508
6. Step 6: Final answer
   x = 142,928.30