Finding the Third Proportional to 53,111 and 72,167

Step by Step Solution

1. Step 1: Write the proportion equation
   53,111 : 72,167 = 72,167 : x
2. Step 2: Convert to fraction form
   53,111/72,167 = 72,167/x
3. Step 3: Cross multiply
   53,111x = 72,167 × 72,167
4. Step 4: Simplify right side
   53,111x = 5,208,075,889
5. Step 5: Solve for x
   x = 5,208,075,889/53,111
6. Step 6: Final answer
   x = 98,060.21