Finding the Third Proportional to 58,052 and 89,346

Step by Step Solution

1. Step 1: Write the proportion equation
   58,052 : 89,346 = 89,346 : x
2. Step 2: Convert to fraction form
   58,052/89,346 = 89,346/x
3. Step 3: Cross multiply
   58,052x = 89,346 × 89,346
4. Step 4: Simplify right side
   58,052x = 7,982,707,716
5. Step 5: Solve for x
   x = 7,982,707,716/58,052
6. Step 6: Final answer
   x = 137,509.61