Finding the Third Proportional to 40,694.50 and 84,507.75

Step by Step Solution

1. Step 1: Write the proportion equation
   40,694.50 : 84,507.75 = 84,507.75 : x
2. Step 2: Convert to fraction form
   40,694.50/84,507.75 = 84,507.75/x
3. Step 3: Cross multiply
   40,694.50x = 84,507.75 × 84,507.75
4. Step 4: Simplify right side
   40,694.50x = 7,141,559,810.06
5. Step 5: Solve for x
   x = 7,141,559,810.06/40,694.50
6. Step 6: Final answer
   x = 175,492.02