Finding the Third Proportional to 37,794.94 and 81,492.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,794.94 : 81,492.75 = 81,492.75 : x
2. Step 2: Convert to fraction form
   37,794.94/81,492.75 = 81,492.75/x
3. Step 3: Cross multiply
   37,794.94x = 81,492.75 × 81,492.75
4. Step 4: Simplify right side
   37,794.94x = 6,641,068,302.56
5. Step 5: Solve for x
   x = 6,641,068,302.56/37,794.94
6. Step 6: Final answer
   x = 175,713.17