Finding the Third Proportional to 38,981.25 and 82,613.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,981.25 : 82,613.25 = 82,613.25 : x
2. Step 2: Convert to fraction form
   38,981.25/82,613.25 = 82,613.25/x
3. Step 3: Cross multiply
   38,981.25x = 82,613.25 × 82,613.25
4. Step 4: Simplify right side
   38,981.25x = 6,824,949,075.56
5. Step 5: Solve for x
   x = 6,824,949,075.56/38,981.25
6. Step 6: Final answer
   x = 175,082.87