Finding the Third Proportional to 37,828.50 and 81,492.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,828.50 : 81,492.25 = 81,492.25 : x
2. Step 2: Convert to fraction form
   37,828.50/81,492.25 = 81,492.25/x
3. Step 3: Cross multiply
   37,828.50x = 81,492.25 × 81,492.25
4. Step 4: Simplify right side
   37,828.50x = 6,640,986,810.06
5. Step 5: Solve for x
   x = 6,640,986,810.06/37,828.50
6. Step 6: Final answer
   x = 175,555.12