Finding the Third Proportional to 38,008 and 58,470

Step by Step Solution

1. Step 1: Write the proportion equation
   38,008 : 58,470 = 58,470 : x
2. Step 2: Convert to fraction form
   38,008/58,470 = 58,470/x
3. Step 3: Cross multiply
   38,008x = 58,470 × 58,470
4. Step 4: Simplify right side
   38,008x = 3,418,740,900
5. Step 5: Solve for x
   x = 3,418,740,900/38,008
6. Step 6: Final answer
   x = 89,947.93