Finding the Third Proportional to 53,657 and 83,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,657 : 83,006.50 = 83,006.50 : x
2. Step 2: Convert to fraction form
   53,657/83,006.50 = 83,006.50/x
3. Step 3: Cross multiply
   53,657x = 83,006.50 × 83,006.50
4. Step 4: Simplify right side
   53,657x = 6,890,079,042.25
5. Step 5: Solve for x
   x = 6,890,079,042.25/53,657
6. Step 6: Final answer
   x = 128,409.70