Finding the Third Proportional to 27,644 and 59,232.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,644 : 59,232.50 = 59,232.50 : x
2. Step 2: Convert to fraction form
   27,644/59,232.50 = 59,232.50/x
3. Step 3: Cross multiply
   27,644x = 59,232.50 × 59,232.50
4. Step 4: Simplify right side
   27,644x = 3,508,489,056.25
5. Step 5: Solve for x
   x = 3,508,489,056.25/27,644
6. Step 6: Final answer
   x = 126,916.84