Finding the Third Proportional to 46,689 and 70,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,689 : 70,897.50 = 70,897.50 : x
2. Step 2: Convert to fraction form
   46,689/70,897.50 = 70,897.50/x
3. Step 3: Cross multiply
   46,689x = 70,897.50 × 70,897.50
4. Step 4: Simplify right side
   46,689x = 5,026,455,506.25
5. Step 5: Solve for x
   x = 5,026,455,506.25/46,689
6. Step 6: Final answer
   x = 107,658.24