Finding the Third Proportional to 38,624 and 58,346

Step by Step Solution

1. Step 1: Write the proportion equation
   38,624 : 58,346 = 58,346 : x
2. Step 2: Convert to fraction form
   38,624/58,346 = 58,346/x
3. Step 3: Cross multiply
   38,624x = 58,346 × 58,346
4. Step 4: Simplify right side
   38,624x = 3,404,255,716
5. Step 5: Solve for x
   x = 3,404,255,716/38,624
6. Step 6: Final answer
   x = 88,138.35