Finding the Third Proportional to 27,375 and 59,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,375 : 59,122.50 = 59,122.50 : x
2. Step 2: Convert to fraction form
   27,375/59,122.50 = 59,122.50/x
3. Step 3: Cross multiply
   27,375x = 59,122.50 × 59,122.50
4. Step 4: Simplify right side
   27,375x = 3,495,470,006.25
5. Step 5: Solve for x
   x = 3,495,470,006.25/27,375
6. Step 6: Final answer
   x = 127,688.40