Finding the Third Proportional to 29,665 and 45,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,665 : 45,917.50 = 45,917.50 : x
2. Step 2: Convert to fraction form
   29,665/45,917.50 = 45,917.50/x
3. Step 3: Cross multiply
   29,665x = 45,917.50 × 45,917.50
4. Step 4: Simplify right side
   29,665x = 2,108,416,806.25
5. Step 5: Solve for x
   x = 2,108,416,806.25/29,665
6. Step 6: Final answer
   x = 71,074.22