Finding the Third Proportional to 34,522.50 and 74,478

Step by Step Solution

1. Step 1: Write the proportion equation
   34,522.50 : 74,478 = 74,478 : x
2. Step 2: Convert to fraction form
   34,522.50/74,478 = 74,478/x
3. Step 3: Cross multiply
   34,522.50x = 74,478 × 74,478
4. Step 4: Simplify right side
   34,522.50x = 5,546,972,484
5. Step 5: Solve for x
   x = 5,546,972,484/34,522.50
6. Step 6: Final answer
   x = 160,677.02