Finding the Third Proportional to 53,965 and 83,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,965 : 83,773.50 = 83,773.50 : x
2. Step 2: Convert to fraction form
   53,965/83,773.50 = 83,773.50/x
3. Step 3: Cross multiply
   53,965x = 83,773.50 × 83,773.50
4. Step 4: Simplify right side
   53,965x = 7,017,999,302.25
5. Step 5: Solve for x
   x = 7,017,999,302.25/53,965
6. Step 6: Final answer
   x = 130,047.24