Finding the Third Proportional to 34,953.50 and 82,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,953.50 : 82,098.50 = 82,098.50 : x
2. Step 2: Convert to fraction form
   34,953.50/82,098.50 = 82,098.50/x
3. Step 3: Cross multiply
   34,953.50x = 82,098.50 × 82,098.50
4. Step 4: Simplify right side
   34,953.50x = 6,740,163,702.25
5. Step 5: Solve for x
   x = 6,740,163,702.25/34,953.50
6. Step 6: Final answer
   x = 192,832.30