Finding the Third Proportional to 25,598 and 37,501

Step by Step Solution

1. Step 1: Write the proportion equation
   25,598 : 37,501 = 37,501 : x
2. Step 2: Convert to fraction form
   25,598/37,501 = 37,501/x
3. Step 3: Cross multiply
   25,598x = 37,501 × 37,501
4. Step 4: Simplify right side
   25,598x = 1,406,325,001
5. Step 5: Solve for x
   x = 1,406,325,001/25,598
6. Step 6: Final answer
   x = 54,938.86