Finding the Third Proportional to 27,375 and 43,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,375 : 43,522.50 = 43,522.50 : x
2. Step 2: Convert to fraction form
   27,375/43,522.50 = 43,522.50/x
3. Step 3: Cross multiply
   27,375x = 43,522.50 × 43,522.50
4. Step 4: Simplify right side
   27,375x = 1,894,208,006.25
5. Step 5: Solve for x
   x = 1,894,208,006.25/27,375
6. Step 6: Final answer
   x = 69,194.81