Finding the Third Proportional to 47,835 and 74,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,835 : 74,659.50 = 74,659.50 : x
2. Step 2: Convert to fraction form
   47,835/74,659.50 = 74,659.50/x
3. Step 3: Cross multiply
   47,835x = 74,659.50 × 74,659.50
4. Step 4: Simplify right side
   47,835x = 5,574,040,940.25
5. Step 5: Solve for x
   x = 5,574,040,940.25/47,835
6. Step 6: Final answer
   x = 116,526.41