Finding the Third Proportional to 12,192 and 26,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,192 : 26,587.50 = 26,587.50 : x
2. Step 2: Convert to fraction form
   12,192/26,587.50 = 26,587.50/x
3. Step 3: Cross multiply
   12,192x = 26,587.50 × 26,587.50
4. Step 4: Simplify right side
   12,192x = 706,895,156.25
5. Step 5: Solve for x
   x = 706,895,156.25/12,192
6. Step 6: Final answer
   x = 57,980.25