Finding the Third Proportional to 29,833.50 and 65,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,833.50 : 65,407.50 = 65,407.50 : x
2. Step 2: Convert to fraction form
   29,833.50/65,407.50 = 65,407.50/x
3. Step 3: Cross multiply
   29,833.50x = 65,407.50 × 65,407.50
4. Step 4: Simplify right side
   29,833.50x = 4,278,141,056.25
5. Step 5: Solve for x
   x = 4,278,141,056.25/29,833.50
6. Step 6: Final answer
   x = 143,400.58