Finding the Third Proportional to 38,140 and 58,346

Step by Step Solution

1. Step 1: Write the proportion equation
   38,140 : 58,346 = 58,346 : x
2. Step 2: Convert to fraction form
   38,140/58,346 = 58,346/x
3. Step 3: Cross multiply
   38,140x = 58,346 × 58,346
4. Step 4: Simplify right side
   38,140x = 3,404,255,716
5. Step 5: Solve for x
   x = 3,404,255,716/38,140
6. Step 6: Final answer
   x = 89,256.84