Finding the Third Proportional to 37,656 and 58,340

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656 : 58,340 = 58,340 : x
2. Step 2: Convert to fraction form
   37,656/58,340 = 58,340/x
3. Step 3: Cross multiply
   37,656x = 58,340 × 58,340
4. Step 4: Simplify right side
   37,656x = 3,403,555,600
5. Step 5: Solve for x
   x = 3,403,555,600/37,656
6. Step 6: Final answer
   x = 90,385.48