Finding the Third Proportional to 38,011.50 and 82,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,011.50 : 82,069.50 = 82,069.50 : x
2. Step 2: Convert to fraction form
   38,011.50/82,069.50 = 82,069.50/x
3. Step 3: Cross multiply
   38,011.50x = 82,069.50 × 82,069.50
4. Step 4: Simplify right side
   38,011.50x = 6,735,402,830.25
5. Step 5: Solve for x
   x = 6,735,402,830.25/38,011.50
6. Step 6: Final answer
   x = 177,193.82