Finding the Third Proportional to 37,684 and 59,658

Step by Step Solution

1. Step 1: Write the proportion equation
   37,684 : 59,658 = 59,658 : x
2. Step 2: Convert to fraction form
   37,684/59,658 = 59,658/x
3. Step 3: Cross multiply
   37,684x = 59,658 × 59,658
4. Step 4: Simplify right side
   37,684x = 3,559,076,964
5. Step 5: Solve for x
   x = 3,559,076,964/37,684
6. Step 6: Final answer
   x = 94,445.31