Finding the Third Proportional to 37,640 and 81,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,640 : 81,842.50 = 81,842.50 : x
2. Step 2: Convert to fraction form
   37,640/81,842.50 = 81,842.50/x
3. Step 3: Cross multiply
   37,640x = 81,842.50 × 81,842.50
4. Step 4: Simplify right side
   37,640x = 6,698,194,806.25
5. Step 5: Solve for x
   x = 6,698,194,806.25/37,640
6. Step 6: Final answer
   x = 177,954.17