Finding the Third Proportional to 24,259 and 37,470

Step by Step Solution

1. Step 1: Write the proportion equation
   24,259 : 37,470 = 37,470 : x
2. Step 2: Convert to fraction form
   24,259/37,470 = 37,470/x
3. Step 3: Cross multiply
   24,259x = 37,470 × 37,470
4. Step 4: Simplify right side
   24,259x = 1,404,000,900
5. Step 5: Solve for x
   x = 1,404,000,900/24,259
6. Step 6: Final answer
   x = 57,875.46