Finding the Third Proportional to 38,336 and 58,196

Step by Step Solution

1. Step 1: Write the proportion equation
   38,336 : 58,196 = 58,196 : x
2. Step 2: Convert to fraction form
   38,336/58,196 = 58,196/x
3. Step 3: Cross multiply
   38,336x = 58,196 × 58,196
4. Step 4: Simplify right side
   38,336x = 3,386,774,416
5. Step 5: Solve for x
   x = 3,386,774,416/38,336
6. Step 6: Final answer
   x = 88,344.49