Finding the Third Proportional to 24,806.25 and 58,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,806.25 : 58,546.50 = 58,546.50 : x
2. Step 2: Convert to fraction form
   24,806.25/58,546.50 = 58,546.50/x
3. Step 3: Cross multiply
   24,806.25x = 58,546.50 × 58,546.50
4. Step 4: Simplify right side
   24,806.25x = 3,427,692,662.25
5. Step 5: Solve for x
   x = 3,427,692,662.25/24,806.25
6. Step 6: Final answer
   x = 138,178.59