Finding the Third Proportional to 53,835 and 77,061

Step by Step Solution

1. Step 1: Write the proportion equation
   53,835 : 77,061 = 77,061 : x
2. Step 2: Convert to fraction form
   53,835/77,061 = 77,061/x
3. Step 3: Cross multiply
   53,835x = 77,061 × 77,061
4. Step 4: Simplify right side
   53,835x = 5,938,397,721
5. Step 5: Solve for x
   x = 5,938,397,721/53,835
6. Step 6: Final answer
   x = 110,307.38