Finding the Third Proportional to 29,422 and 64,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,422 : 64,782.50 = 64,782.50 : x
2. Step 2: Convert to fraction form
   29,422/64,782.50 = 64,782.50/x
3. Step 3: Cross multiply
   29,422x = 64,782.50 × 64,782.50
4. Step 4: Simplify right side
   29,422x = 4,196,772,306.25
5. Step 5: Solve for x
   x = 4,196,772,306.25/29,422
6. Step 6: Final answer
   x = 142,640.62