Finding the Third Proportional to 38,981.50 and 85,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,981.50 : 85,634.50 = 85,634.50 : x
2. Step 2: Convert to fraction form
   38,981.50/85,634.50 = 85,634.50/x
3. Step 3: Cross multiply
   38,981.50x = 85,634.50 × 85,634.50
4. Step 4: Simplify right side
   38,981.50x = 7,333,267,590.25
5. Step 5: Solve for x
   x = 7,333,267,590.25/38,981.50
6. Step 6: Final answer
   x = 188,121.74