Finding the Third Proportional to 25,042 and 38,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,042 : 38,194.50 = 38,194.50 : x
2. Step 2: Convert to fraction form
   25,042/38,194.50 = 38,194.50/x
3. Step 3: Cross multiply
   25,042x = 38,194.50 × 38,194.50
4. Step 4: Simplify right side
   25,042x = 1,458,819,830.25
5. Step 5: Solve for x
   x = 1,458,819,830.25/25,042
6. Step 6: Final answer
   x = 58,254.92