Finding the Third Proportional to 46,102.50 and 69,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,102.50 : 69,577.50 = 69,577.50 : x
2. Step 2: Convert to fraction form
   46,102.50/69,577.50 = 69,577.50/x
3. Step 3: Cross multiply
   46,102.50x = 69,577.50 × 69,577.50
4. Step 4: Simplify right side
   46,102.50x = 4,841,028,506.25
5. Step 5: Solve for x
   x = 4,841,028,506.25/46,102.50
6. Step 6: Final answer
   x = 105,005.77