Finding the Third Proportional to 34,772 and 75,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,772 : 75,086.50 = 75,086.50 : x
2. Step 2: Convert to fraction form
   34,772/75,086.50 = 75,086.50/x
3. Step 3: Cross multiply
   34,772x = 75,086.50 × 75,086.50
4. Step 4: Simplify right side
   34,772x = 5,637,982,482.25
5. Step 5: Solve for x
   x = 5,637,982,482.25/34,772
6. Step 6: Final answer
   x = 162,141.45