Finding the Third Proportional to 69,295.50 and 82,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,295.50 : 82,237.50 = 82,237.50 : x
2. Step 2: Convert to fraction form
   69,295.50/82,237.50 = 82,237.50/x
3. Step 3: Cross multiply
   69,295.50x = 82,237.50 × 82,237.50
4. Step 4: Simplify right side
   69,295.50x = 6,763,006,406.25
5. Step 5: Solve for x
   x = 6,763,006,406.25/69,295.50
6. Step 6: Final answer
   x = 97,596.62