Finding the Third Proportional to 37,346 and 81,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,346 : 81,684.50 = 81,684.50 : x
2. Step 2: Convert to fraction form
   37,346/81,684.50 = 81,684.50/x
3. Step 3: Cross multiply
   37,346x = 81,684.50 × 81,684.50
4. Step 4: Simplify right side
   37,346x = 6,672,357,540.25
5. Step 5: Solve for x
   x = 6,672,357,540.25/37,346
6. Step 6: Final answer
   x = 178,663.24