Finding the Third Proportional to 25,537.50 and 42,204.38

Step by Step Solution

1. Step 1: Write the proportion equation
   25,537.50 : 42,204.38 = 42,204.38 : x
2. Step 2: Convert to fraction form
   25,537.50/42,204.38 = 42,204.38/x
3. Step 3: Cross multiply
   25,537.50x = 42,204.38 × 42,204.38
4. Step 4: Simplify right side
   25,537.50x = 1,781,209,269.14
5. Step 5: Solve for x
   x = 1,781,209,269.14/25,537.50
6. Step 6: Final answer
   x = 69,748.77