Finding the Third Proportional to 38,200 and 58,432

Step by Step Solution

1. Step 1: Write the proportion equation
   38,200 : 58,432 = 58,432 : x
2. Step 2: Convert to fraction form
   38,200/58,432 = 58,432/x
3. Step 3: Cross multiply
   38,200x = 58,432 × 58,432
4. Step 4: Simplify right side
   38,200x = 3,414,298,624
5. Step 5: Solve for x
   x = 3,414,298,624/38,200
6. Step 6: Final answer
   x = 89,379.55