Finding the Third Proportional to 24,506 and 34,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,506 : 34,510.50 = 34,510.50 : x
2. Step 2: Convert to fraction form
   24,506/34,510.50 = 34,510.50/x
3. Step 3: Cross multiply
   24,506x = 34,510.50 × 34,510.50
4. Step 4: Simplify right side
   24,506x = 1,190,974,610.25
5. Step 5: Solve for x
   x = 1,190,974,610.25/24,506
6. Step 6: Final answer
   x = 48,599.31