Finding the Third Proportional to 46,077.75 and 69,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,077.75 : 69,538.50 = 69,538.50 : x
2. Step 2: Convert to fraction form
   46,077.75/69,538.50 = 69,538.50/x
3. Step 3: Cross multiply
   46,077.75x = 69,538.50 × 69,538.50
4. Step 4: Simplify right side
   46,077.75x = 4,835,602,982.25
5. Step 5: Solve for x
   x = 4,835,602,982.25/46,077.75
6. Step 6: Final answer
   x = 104,944.43