Finding the Third Proportional to 25,994 and 37,047

Step by Step Solution

1. Step 1: Write the proportion equation
   25,994 : 37,047 = 37,047 : x
2. Step 2: Convert to fraction form
   25,994/37,047 = 37,047/x
3. Step 3: Cross multiply
   25,994x = 37,047 × 37,047
4. Step 4: Simplify right side
   25,994x = 1,372,480,209
5. Step 5: Solve for x
   x = 1,372,480,209/25,994
6. Step 6: Final answer
   x = 52,799.88