Finding the Third Proportional to 37,671 and 59,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,671 : 59,638.50 = 59,638.50 : x
2. Step 2: Convert to fraction form
   37,671/59,638.50 = 59,638.50/x
3. Step 3: Cross multiply
   37,671x = 59,638.50 × 59,638.50
4. Step 4: Simplify right side
   37,671x = 3,556,750,682.25
5. Step 5: Solve for x
   x = 3,556,750,682.25/37,671
6. Step 6: Final answer
   x = 94,416.15