Finding the Third Proportional to 7,834.50 and 16,488.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834.50 : 16,488.75 = 16,488.75 : x
2. Step 2: Convert to fraction form
   7,834.50/16,488.75 = 16,488.75/x
3. Step 3: Cross multiply
   7,834.50x = 16,488.75 × 16,488.75
4. Step 4: Simplify right side
   7,834.50x = 271,878,876.56
5. Step 5: Solve for x
   x = 271,878,876.56/7,834.50
6. Step 6: Final answer
   x = 34,702.77