Finding the Third Proportional to 61,164 and 89,385.75

Step by Step Solution

1. Step 1: Write the proportion equation
   61,164 : 89,385.75 = 89,385.75 : x
2. Step 2: Convert to fraction form
   61,164/89,385.75 = 89,385.75/x
3. Step 3: Cross multiply
   61,164x = 89,385.75 × 89,385.75
4. Step 4: Simplify right side
   61,164x = 7,989,812,303.06
5. Step 5: Solve for x
   x = 7,989,812,303.06/61,164
6. Step 6: Final answer
   x = 130,629.33