Finding the Third Proportional to 37,671 and 55,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,671 : 55,354.50 = 55,354.50 : x
2. Step 2: Convert to fraction form
   37,671/55,354.50 = 55,354.50/x
3. Step 3: Cross multiply
   37,671x = 55,354.50 × 55,354.50
4. Step 4: Simplify right side
   37,671x = 3,064,120,670.25
5. Step 5: Solve for x
   x = 3,064,120,670.25/37,671
6. Step 6: Final answer
   x = 81,338.98