Finding the Third Proportional to 29,844 and 64,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,844 : 64,357.50 = 64,357.50 : x
2. Step 2: Convert to fraction form
   29,844/64,357.50 = 64,357.50/x
3. Step 3: Cross multiply
   29,844x = 64,357.50 × 64,357.50
4. Step 4: Simplify right side
   29,844x = 4,141,887,806.25
5. Step 5: Solve for x
   x = 4,141,887,806.25/29,844
6. Step 6: Final answer
   x = 138,784.61