Finding the Third Proportional to 12,102 and 26,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,102 : 26,152.50 = 26,152.50 : x
2. Step 2: Convert to fraction form
   12,102/26,152.50 = 26,152.50/x
3. Step 3: Cross multiply
   12,102x = 26,152.50 × 26,152.50
4. Step 4: Simplify right side
   12,102x = 683,953,256.25
5. Step 5: Solve for x
   x = 683,953,256.25/12,102
6. Step 6: Final answer
   x = 56,515.72