Finding the Third Proportional to 53,430 and 83,061

Step by Step Solution

1. Step 1: Write the proportion equation
   53,430 : 83,061 = 83,061 : x
2. Step 2: Convert to fraction form
   53,430/83,061 = 83,061/x
3. Step 3: Cross multiply
   53,430x = 83,061 × 83,061
4. Step 4: Simplify right side
   53,430x = 6,899,129,721
5. Step 5: Solve for x
   x = 6,899,129,721/53,430
6. Step 6: Final answer
   x = 129,124.64