Finding the Third Proportional to 12,188 and 26,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,188 : 26,577.50 = 26,577.50 : x
2. Step 2: Convert to fraction form
   12,188/26,577.50 = 26,577.50/x
3. Step 3: Cross multiply
   12,188x = 26,577.50 × 26,577.50
4. Step 4: Simplify right side
   12,188x = 706,363,506.25
5. Step 5: Solve for x
   x = 706,363,506.25/12,188
6. Step 6: Final answer
   x = 57,955.65