Finding the Third Proportional to 49,828.50 and 83,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,828.50 : 83,047.50 = 83,047.50 : x
2. Step 2: Convert to fraction form
   49,828.50/83,047.50 = 83,047.50/x
3. Step 3: Cross multiply
   49,828.50x = 83,047.50 × 83,047.50
4. Step 4: Simplify right side
   49,828.50x = 6,896,887,256.25
5. Step 5: Solve for x
   x = 6,896,887,256.25/49,828.50
6. Step 6: Final answer
   x = 138,412.50