Finding the Third Proportional to 61,161 and 86,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,161 : 86,127.50 = 86,127.50 : x
2. Step 2: Convert to fraction form
   61,161/86,127.50 = 86,127.50/x
3. Step 3: Cross multiply
   61,161x = 86,127.50 × 86,127.50
4. Step 4: Simplify right side
   61,161x = 7,417,946,256.25
5. Step 5: Solve for x
   x = 7,417,946,256.25/61,161
6. Step 6: Final answer
   x = 121,285.56