Finding the Third Proportional to 29,636 and 46,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,636 : 46,897.50 = 46,897.50 : x
2. Step 2: Convert to fraction form
   29,636/46,897.50 = 46,897.50/x
3. Step 3: Cross multiply
   29,636x = 46,897.50 × 46,897.50
4. Step 4: Simplify right side
   29,636x = 2,199,375,506.25
5. Step 5: Solve for x
   x = 2,199,375,506.25/29,636
6. Step 6: Final answer
   x = 74,212.97