Finding the Third Proportional to 37,690.50 and 67,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,690.50 : 67,042.50 = 67,042.50 : x
2. Step 2: Convert to fraction form
   37,690.50/67,042.50 = 67,042.50/x
3. Step 3: Cross multiply
   37,690.50x = 67,042.50 × 67,042.50
4. Step 4: Simplify right side
   37,690.50x = 4,494,696,806.25
5. Step 5: Solve for x
   x = 4,494,696,806.25/37,690.50
6. Step 6: Final answer
   x = 119,252.78