Finding the Third Proportional to 51,973.50 and 83,702.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,973.50 : 83,702.25 = 83,702.25 : x
2. Step 2: Convert to fraction form
   51,973.50/83,702.25 = 83,702.25/x
3. Step 3: Cross multiply
   51,973.50x = 83,702.25 × 83,702.25
4. Step 4: Simplify right side
   51,973.50x = 7,006,066,655.06
5. Step 5: Solve for x
   x = 7,006,066,655.06/51,973.50
6. Step 6: Final answer
   x = 134,800.75