Finding the Third Proportional to 25,506 and 55,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,506 : 55,528.50 = 55,528.50 : x
2. Step 2: Convert to fraction form
   25,506/55,528.50 = 55,528.50/x
3. Step 3: Cross multiply
   25,506x = 55,528.50 × 55,528.50
4. Step 4: Simplify right side
   25,506x = 3,083,414,312.25
5. Step 5: Solve for x
   x = 3,083,414,312.25/25,506
6. Step 6: Final answer
   x = 120,889.76