Finding the Third Proportional to 29,421 and 64,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,421 : 64,780.50 = 64,780.50 : x
2. Step 2: Convert to fraction form
   29,421/64,780.50 = 64,780.50/x
3. Step 3: Cross multiply
   29,421x = 64,780.50 × 64,780.50
4. Step 4: Simplify right side
   29,421x = 4,196,513,180.25
5. Step 5: Solve for x
   x = 4,196,513,180.25/29,421
6. Step 6: Final answer
   x = 142,636.66