Finding the Third Proportional to 71,523 and 105,094.75

Step by Step Solution

1. Step 1: Write the proportion equation
   71,523 : 105,094.75 = 105,094.75 : x
2. Step 2: Convert to fraction form
   71,523/105,094.75 = 105,094.75/x
3. Step 3: Cross multiply
   71,523x = 105,094.75 × 105,094.75
4. Step 4: Simplify right side
   71,523x = 11,044,906,477.56
5. Step 5: Solve for x
   x = 11,044,906,477.56/71,523
6. Step 6: Final answer
   x = 154,424.54