Finding the Third Proportional to 23,458 and 47,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,458 : 47,870.50 = 47,870.50 : x
2. Step 2: Convert to fraction form
   23,458/47,870.50 = 47,870.50/x
3. Step 3: Cross multiply
   23,458x = 47,870.50 × 47,870.50
4. Step 4: Simplify right side
   23,458x = 2,291,584,770.25
5. Step 5: Solve for x
   x = 2,291,584,770.25/23,458
6. Step 6: Final answer
   x = 97,688.84