Finding the Third Proportional to 37,824 and 58,829

Step by Step Solution

1. Step 1: Write the proportion equation
   37,824 : 58,829 = 58,829 : x
2. Step 2: Convert to fraction form
   37,824/58,829 = 58,829/x
3. Step 3: Cross multiply
   37,824x = 58,829 × 58,829
4. Step 4: Simplify right side
   37,824x = 3,460,851,241
5. Step 5: Solve for x
   x = 3,460,851,241/37,824
6. Step 6: Final answer
   x = 91,498.82