Finding the Third Proportional to 27,600 and 59,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,600 : 59,575.50 = 59,575.50 : x
2. Step 2: Convert to fraction form
   27,600/59,575.50 = 59,575.50/x
3. Step 3: Cross multiply
   27,600x = 59,575.50 × 59,575.50
4. Step 4: Simplify right side
   27,600x = 3,549,240,200.25
5. Step 5: Solve for x
   x = 3,549,240,200.25/27,600
6. Step 6: Final answer
   x = 128,595.66