Finding the Third Proportional to 43,498 and 57,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,498 : 57,835.50 = 57,835.50 : x
2. Step 2: Convert to fraction form
   43,498/57,835.50 = 57,835.50/x
3. Step 3: Cross multiply
   43,498x = 57,835.50 × 57,835.50
4. Step 4: Simplify right side
   43,498x = 3,344,945,060.25
5. Step 5: Solve for x
   x = 3,344,945,060.25/43,498
6. Step 6: Final answer
   x = 76,898.82